I mean, it should exist according to wiki's rules since there are so many people using the term. Wiki intentionally doesn't try to independently verify any research, but just serves as a collation of ideas.
What I would do is ask 'what part there is any different than any other compiler?'
Except that there's a true formal (in fact legal) distinction between a car and a truck (they have different emissions standards). The whole distinction between a 'transpilers' and other compilers on the other hand is 'what is the user going to do with the output'.
It shouldn't. There are several issues with the article and it should be deleted. None of the cited references actually support transpiler or source-to-source compiler as credible or noteworthy.
What I would do is ask 'what part there is any different than any other compiler?'