I used to check the tappets on the Mitsubishi Colts about every 50,000 Kms.
Adjusted the tappets on my '93 Impreza once early in its life. They weren't set properly. Never touched them again ... The engine was still running well some 200K Kms later. Probably would have helped if I had changed the plugs though ... :iconwink:.
Modern engines have bigger adjusting screws and bigger lock nuts on their tappets than engines did in my youth. Camshafts and heads are located more securely and better supported. Metallurgy has also come a very long way since then. All these things lead to less need for maintenance IME.
I certainly wouldn't bother adjusting the tappets on an EJ engine every 20-25,000 Kms. Maybe check them every 50,000 Kms, if you are dead keen. OR any time after a "real mechanic" has done anything that might affect the adjustment ...
My touchstone for tappet clearance was that the next bigger feeler gauge should not fit; the correct size should have light friction when it is slid between the surfaces; the next smaller feeler gauge should feel quite loose. It is very important when doing this that the feeler gauge is exactly at right angles to the clearance, and that the crankshaft is in precisely the right position for that valve.
Hope this is of some help.
BTW, I have moved your post and mine to a new thread in the Under the hood sub-forum. The topic deserves it's own thread.