As someone who create the tag, I of course think it necessary to have a distinguished tag (in fact, 3 of 7 questions in personal-statement are mine). You can read the whole difference between these two statements in How to structure the personal statement?, but in short, in universities that require both, the SOP/research statement focuses only to your research, while the personal statement is only to tell about anything else that reveals you as a person.
If we synonymize them, we need to make sure that for questions that ask about this specific case, the answerers should be aware of this unusual. If we synonymize them, and when the asker has specifically told what meaning they are mentioning, the answerers find no problem with that, then I happy to have them synonymized.
Unfortunately, this is not the case. In the linked question in paragraph 1, you can see that the top voted answer (not the accepted one) had mistaken the concept, even when I had told what meaning I used (to be fair, I didn't add the note line at first). The number of vote indicates that not only that answerer, but also the voters mistook that too. Answers are pearl, so an off-topic answer is badly wasteful.
>> That's not the fault of them, after all there is no agreement among the schools. Some separate the two, some don't. For who lives in the latter, we need to educate them that there exists the former. And there is no way to teach about something better than creating a noun, a name, a concept, a category for it. We cannot see the blue color, unless we have a name for it. We also don't have any bias for people who have pendulous earlobes, because we don't have a name for them.
So this case, I propose to keep the tag. All it needs is the detailed description below.