I've had excellent results with Redline oil. It's Group V ester-based synthetic. It has natural cleaning qualities.
I've had two Mazda Miatas with noisy lifter. The first one was pretty noisy overall, and was cured within a month.
The second one has one really weak lifter. On startup, it sounded as if it had a 90 thou. valve clearance, ie, super-loud. It went away after the oil pressure filled up the bad lifter, after say 20-30 seconds. Worrying, even though it did go away.
I've had Redline in it for about 10 weeks now. It's noisy for about two seconds, then quiets down as the oil gets pumped in.
This is Redline 10-40. I may go to Redline 0-40, to build up oil pressure faster.
Another thing: oil consumption and leaks have dropped. Esters have natural seal-swelling properties. So, the cam position sensor O-ring does not leak any more. And the valve guide oil seals don't pass as much. I'm using 40 not 30 to cut down leakage past the valves.