If you think it was oil pressure related("pumped up lifters") then engine should re-start after being off for a few minutes, does it?
Lifters drain oil pretty fast as anyone knows when they have "ticky" lifters, lol, always "tick" on re-start until oil pressure goes up
Yes, valve covers need to come off and you need to check the pre-load on the lifters
Its certainly possible that engine is loosing compression once lifters are "properly" filled, if pre-load is too much
That would be pushrod length issue to correct