Several test frameworks implement Law Testing which will test your instances for lawfulness as long as you can generate instances of your data structures. E.g. https://hackage.haskell.org/package/hedgehog-classes . So you only need to be able to generate instances and you get comprehensive tests for free, so that's nice too.

It is also the case that implementations of these very abstract classes typically only also have very few implementations that make any kind of sense type-wise and that the 'obvious' one is correct.

(Just to preempt: Yes, tests aren't proof, but such is life without a full proof system in the language. In practice, I've found property-based testing sufficient.)