So for laughs, I just opened my cheapy Panasonic with 'digital servo'. It has 5 ICs on the 'transport' assembly, a display which is probably the system controller also and a 4558 opamp on the main board. Not a pot in sight.
As for your player, Graham's suggestion is as good as any. The issues I've seen and read about usually have to do with dirty optics and/or laser diodes that go bad. There are many surfaces that can get dirty and can't be cleaned because they're in the optics block so the only option is to replace it. For the price of cheapy players, if worst comes to worst, just replace it. GG