This is an ill-defined question. What does "more capable" mean to you?As someone who never owned a Mini:
Is the 14” MBP M4 Pro (Base model) more capable when it comes to thermals than the M4 Pro Mini?
If you mean "looking only at performance, which is superior?", then I don't think we have a definitive answer to that yet. It gets more complex when you factor in high performance mode, and the option of using fan control software.
But especially in this thread, there's been a lot of concern about noise. If you mean to ask "which has superior performance, while being effectively silent" or "...while being quiet enough not to be annoying" then you're in subjective territory, or you need to be very careful about defining terms and testing... well we don't have that answer either. Factor in fan control software and the question expands again.
There has been some suggestion that the M4 Pro 14" can run silent at higher loads than the Mini. That may be true, but I don't know for sure and I don't think we have enough test cases to be confident about that.
BTW, it's plausible that the 14" can run silent at higher load than the Mini, but that the Mini can run a higher absolute load if you don't mind the fan noise. If so, which is "more capable"? It depends on what you care about.