IDK about oil pressure always causing lifter noise. My Miata had it from day one because the OEM clearanced the lifters a bit oddly and the TSB was never done. And I think every Honda motorcycle is designed to clack to hell.
One of the reasons I got into forums was every post was "HEADGASKET!" or "REBUILD"
Normally I find lifters clack because of the lifters themselves sticking tho, easy solution is $2 bucks ATF. When it's low oil pressure or wear that's normally at start up when warm.
But we still need to "hear" the noise. It could be a rattle or something like a whirl the OP hasn't clarified.