The current post notices don't really meet the need for addressing the problems of answers that don't meet our "back it up" policy here.
Having such a notice would make it much more likely that I'd use a post notice in this case. It also saves us from having to write comments on all of these posts and the posts with notices are easily searchable so we can check in on them more easily than posts with comments.
The current best candidate for this is the "Citation Needed" post notice.
Some of the information contained in this post requires additional references. Please edit to add citations to reliable sources that support the assertions made here. Unsourced material may be disputed or deleted.
I suppose the "insufficient explanation" one isn't too bad, either...
We're looking for long answers that provide some explanation and context. Don't just give a one-line answer; explain why your answer is right, ideally with citations. Answers that don't include explanations may be removed.
But both of these specifically call for "citations" and say nothing about personal experience. As such, I'm not a huge fan of using them on posts here because they don't really do the job.
Could we please have post notice that explains our policy for supporting answers?
I'm pretty blatantly cribbing from the Workplace here:
Please note that answers should be backed up either with a reference, or experiences that happened to you personally. You should always include in your answer information about why you think your answer is correct.
When I suggest a post notice that reads something like:
This site requires that answers be backed up with either a reference or personal experience. Explain why your answer is correct, even if you think it's obvious. Answers that don't back themselves up may be removed.
Feel free to improve the wording in comments or answers. If a link can be added to the post notice, we should link to one of our discussions on meta if there's a "best" one. I'm personally fond of my answer here.