The only time I've ever seen a two stroke oil pump fail was when it was left sitting with an oil/water mix for about 2 yrs.
You need to re-jet if you use pre-mix, the oil takes the plce of fuel and does cause slightly lean mixture, plus, the extra oil at lower rpm tends to collect in crankcase and exhaust (plus oil only creates heat, not power)
It isn't always possible to use pre-mix on all two stroke engines without major work, some need cranks disassembled to remove oil slinger plates (they direct oil to big end bearing from one main bearing)