Quick question on whois history records

If my details have been listed in the whois info of a domain, then afterwards I add whois privacy protection, would it still be worth keeping the domain for a PBN? Or would my personal details be exposed to G through the whois history?

I registered a PBN domain but the registrar decided to add domain privacy a day after publishing my personal details in whois, even though stating this would not be the case before I made the purchase.