No, continue to pin accepted answers from the top.
I would suggest not unpinning answers, particularly on Parenting.
My reasoning has nothing to do with old answers that would change sort order. I tend to think that's a relatively unimportant thing on most sites where there is not an "outdated" element (StackOverflow being the biggest example of course - where an answer that worked for v2.0 of a software in 2014 doesn't work in v8.0 in 2021); Parenting answers nearly never have any time component (maybe some technology based ones, but that's relatively infrequent). "How do I help my child learn to behave properly" is timeless, and the best answer in 2014 is probably still the best one now.
On the other hand, in the now, I feel like it will be somewhat negative in the (relatively infrequent) case that an answer is accepted that is not the highest voted one. That's because Parenting questions and answers, for better or for worse, have somewhat of an emotional component to them. When an asker asks a question, and sees an answer they're happy with, accepting it and pinning it to the top makes them feel like they're satisfied - they got their answer, good experience.
If there's another answer that's more highly upvoted, but not consistent with their opinion, or their specific needs, etc., or just not what they prefer, that asker will see that answer first if it's unpinned - and maybe not see the answer they like at all, if it's fifth or sixth by upvotes! It takes the asker away from the question entirely. While I can see the argument for doing that - not giving them a special vote, it's supposed to be a database of questions for the world - that ignores the human component that is our "asker" base, which is not as big as we'd like it.
Pinning the accepted answer to the top lets them have that say - and, for the specific question they asked, they are the best judge of the most appropriate answer right then. The highest voted answer ends up second, and I suspect on Parenting you get a lot more people who read all the answers than you do on StackOverflow. (It's probably harder to judge the metrics - people don't tend to copy and paste parenting advice like they do programming code, unfortunately.)
It does mean if a late answer comes in, it won't ever be accepted in most cases; but I don't think that's a big deal - again, I suspect people do read those second/third/fourth answers; if they don't, then it's not getting moved to the top anyway.