So why is everyone missing the main point here?
All this talk about networks leaving footprints. How it's because google has somehow caught onto them. If they still work, if google will penalize your money site? Yada Yada Yada
I think its dead simple. Same reason so many of us had our sites spanked/ sandboxed/ deindexed. Shit content, or links from shit sites. Right? I mean I've used quite a few of the networks that got hit. What do they all have in common? Well 1. they put out spinned content, a lot of it which is junk on their network. 2. The content is all over the place as far as topic/category/keywords. There's your footprints! The new algo came out which specifically targets this type of BS! So guess what, your site takes a hit.
If you're a blog network site with thousands of shit spun articles, no unifying theme, crap layout, guess what ... you get deindexed!
If your site has thousands of links coming from those shitty deindexed sites, guess what... you get bitch slapped, or worse also deindexed!
The search engines are not that smart! They don't have secret access to secret info, they don't use OCR! They've developed a way to tell grammatically incorrect content/ spun content which doesn't make any sense, versions of which appear all across the web on sites that post way to much unrelated garbage every single day and have deindexed them. End of story!
If a lot of your links come from deindexed sites, you will be penalized. If flags go off about your site's content and or links, you might have someone come check it out, and if it's crap, you might get deindexed.
Everything else is just BS.
So to the original question. If the blog network is made of only quality sites, with set categories for niches, which only uses original content, with only the absolute minimum high quality spinning applied. Which also supports image and video in the content, then you should use it. If not, stay away,
Cheers.