how many miles on those rockers/PR/shafts??
how many miles on lifters and cam?
are the lifters in correct order on the shaft for offset?
I have had many make noise that you could not track down when no exhast leak was confirmed first.
eggshaped rockers with a worn thin fulcum or grooves on the shafts,rocker cups and PR ends worn down,lifter cups worn,lifters pluged up solid with carbon deposits...or combo of all of the above have been the culprit.
not to mention the oil and a flat tappet cam wear issues the last few yrs.
the hydro lifter is self adjusting as long as it/valve train is within specs,wear down any of the valve train and it can get to haveing the lifter rattle/ticking/tapping at any or all of the contact wear spots.
once the lifter pumps up to max hieght,it cant adjust for mech failure.
dont forget,you have a t-chain/fuel pump along with a dist/itermed shaft running off the cam and will add to the mech sound of a engine as it idles. add in the wear of those items and you multiply the mech sound chasing