Indeed. And a strong understanding of “their truth” is the concept here I’d argue against. The fact of multiple claims doesn’t tell us anything about the claims per se.
1+1=1
1+1=2
1+1=3
It doesn’t matter how many people claim any of those is true or false as regards the truth of the claims themselves. We also don’t have to investigate any of these claims to be able to say that at most only one of them can be true.