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Is it generally accepted that Force users become more powerful over time, unless stated otherwise?

Not necessarily.

Depending upon the learning curve and exposure in the mix, a Force-user is likely to become more powerful over time but aging will eventually take its toll at some point. Although exceptionally learned Force-users are a force to be reckoned with even in old age.

Unless a Force-user have figured out a way to overcome negative implications of aging which is exceedingly difficult task - immortality and/or unnatural ways of prolonging corporeal life coupled with physical fitness.

I think it really depends on the potential of the Force users in question. However, *most* Force users we've seen(at least in canon) do seem to have become stronger with age. Maybe not stronger from a physical standpoint(depending on how old they are), but definitely stronger with the Force.

This fact is actually noted in the RoS novel: