No dude, Katakuri's comments made it clear his entire reputation is made up. That includes both fighting record and merienda stuff
Oven should have know it at most better, Katakuri never said that his record was a lie, but his whole character in shown to his family was a lie. Even Brulee was shocked that Katakuri losed and she know Katakuri character too.
Oven and Brulee know about all lies of Kata, but his record was actually the only true thiing about him:
Katakuri clearly mean that it was a lie that his back wasn´t lying on the ground, which Brulee confirm:
Brulee and Kata where speaking about the rumor that he never put his back on the ground, actually this lie was confirmed in chapter 883 when Katakuri had his donut time. Brulee and Kata mean that, not his winning strike, his winning strike was probably the only truth thing about him.
But again we don´t know who Katakuri face so far in the past, so it is really hard to judge that statement when it come to powerscaling.