If you get a different answer it will probably be highly problematic.
That the Franks had a genealogy that went back to Troy, but wasnt true, is well known. The issue then becomes what pieces of the genealogy can be verified from outside sources.
And not surprisingly, a lot can’t.
You asked was there proof Chlodio existed. No, there isn’t. That’s why he is not considered real.
Then you asked that we prove that he didn’t exist. That can’t be done either.
I understand that it can be very frustrating, when the early medieval documents don’t give up what we want.
But what we have, we have. The rest is lost to time and circumstances, and what remains has to be interpreted.
We consider the time period (how close to being a contemporary document is it), the writer (who wrote or compiled it, and what was his or her bias), and the audience (what did the contemporary readers want from this document).
Any information about this piece of the line comes from sources that can’t be corroborated, and we know that there was an agenda, and that the agenda wasn’t about historical truth as we know it now.
(The same thing will happen throughout medieval genealogies in Europe. All the noble families in Wales were supposedly descended from one god or another. The Irish were supposedly descended from Egypt. Not so much.)
I will provide links to various articles:
https://brill.com/downloadpdf/book/edcoll/9789004315693/B9789004315...
https://aeon.co/ideas/for-centuries-european-aristocrats-proudly-cl...
http://etheses.whiterose.ac.uk/12687/1/Yavuz_N_K_Medieval_Studies_P...
There some other very fine articles, but they require a subscription to JSTOR.