Local SEO is less about PR and more about page relevance and on page optimization factors. Citations are basically backlinks. So, with what you showed, it really doesn't give much information on whether or not you will easily rank for a local term. There are far more important things like keyword and location.
It's more true than not true, but some of it is "not true" but for complicated reasons. Main point I want to make here is the notion that "citations are basically backlinks" which is VERY DANGEROUS to think, because it makes a mental short cut when it should be a very LONG cut.
Sure, if you think about citations in the most basic and superficial manner, they're "like" backlinks, in the sense that the "anchor text" of the citation is the NAP and that the citation usually (but not always) gives a URL to the business's website. But none of that is what is important. It's like saying that something is the same because it has the same color as something else. Sure, they're the same because they're both blue, if all you want to do is focus on similarities.
Here's the nugget, and pay attention:
It's how citations DIFFER from backlinks that contains the critical knowledge and awareness that you need to have in order to understand the difference between "normal" SEO (weight loss pills) and Local SEO (Atlanta Barbershop). This is critical.
SEO and Local SEO are two completely different algorithms. The only reason why they are similar is because they exist in the same finite internet universe. There's data, and URL's and links and websites and data fields and that's about it. So when trying to describe the differences in the relationships between all the known, knowable and well-defined variables of the internet and how they relate to "SEO", there is bound to be some bleedover and ambiguity in the language that is used to describe Local SEO.
Even though they are completely different and have nothing really in common with each other. They invented the phrase Local SEO for a REASON. It's not a slight variation on "normal" SEO, it's it's own standalone, distinct concept and quality and if you stumble and do not put extra effort into separating these two concepts completely with great attention to detail and with great discipline, you will have a much longer learning curve as the methods and reasons for doing certain things in SEO are sometimes the exact opposite for what you do and why for Local SEO. It's a dam good idea to know the difference between north and south, BEFORE you get in the car and start driving.
Secondary to that, these SEO hucksters and shuck-and-jivers don't know the difference either, but they do know there's commonality of language and so they sell "backlink packages" and other electronic garbage that will set your local rankings BACKWARDS and because they are stupid and do not know the 1st thing about Local SEO (or SEO for that matter), they will defend to their grave the value of the trash that they sold you so that you could put your local search results in the toilet.
When you thought you were driving North, you went South instead, because the definition you were using for "North" wasn't relevant for either North OR South. The definition only served to put your money in some huckster's PayPal account.
Words mean things. Language is important. There's a reason why your English teachers all made you learn the definitions of certain words BEFORE they had you read the book. Duh. If you think about it.
That's what I'm saying here. Pay attention to the language and who uses it with precision and indicates that they know what they are talking about, and who staggers around sloppy drunk with slurred speech and can't give coherent answers to questions because they aren't even aware of the words that they are using, much less what those words actually mean.
So, citations are NOT backlinks. Not where it's important. Citations are reference libraries, and each library has a certain number of votes. And when Google finds businesses that appear to share the same niche, it has to decide which local business is more legitimate, so it compares the citations and based on the consistency of the NAP, the accuracy of the information, the absence of any contradictory information, the "weight" or trustworthyness of the citations, which has the most trustworthy record "on file", and other factors (reviews, etc...) Google posts it's results.
I had one client that went from page 1 to page 3 in the local results in one week, just before the local boat tour season. He moved his boat from one side of the marina to the other, which meant that the landline to his office changed. He filled out a few citations with the updated number, and when I did a CITATION analysis (and not a backlink analysis), I found 3 different addresses, 4 different phone numbers, 2 different business names and 2 different websites all supposedly pertaining to one specific business.
If YOU were Google, would YOU put this clusterf*ck on page 1?
He had some Indian SEO with some kind of link scheme that was propping up his results, but as soon as the phone number canged (but not the address), all illusions of his businesses legitimacy vanished, and he dropped off page 1 like a rock, just before the busiest part of the season. His "SEO" didn't understand the difference between "SEO" and "Local SEO", and that lack of awareness cost that guy an entire season.