It was not a 'claim', it was a testimony under oath that neither Trump or his lawyers challenged and the logs are incomplete, there are many missing.
There are no missing flight logs - they are filed before each flight with who is on a plane.
The testimony was from Epstein's brother who claimed Trump was on one of the flights. The flight logs don't back the claim and there is clear evidence that Trump was elsewhere that day.
Trump regularly traveled on his own plane(s) (you know the one with the TRUMP in big letters on the side) and never had the reason to hop on the planes owned by others. With Trump's ego being seen on his own plane with the big logo is a matter of pride -- it is doubtful he would fly in any other manner.
