I believe the answer is it all depends. Btw, the answer that a "too powerful amp" endangers the loudspeakers posted above is completely false. I would even go so far as to say that an insufficiently powerful amp is more dangerous to loudspeakers than a "too powerful" amp simply due to distortion being potentially harmful when an amp is overdriven. But why does it all depend? Because different amp topologies behave differently with different speaker loads. In general the answer is "no". While not directly responsive to the question asked, also consider that with most amp designs, more power means more output stages. Some of us believe that less output stages result in purer sound.
Why is there the oft-dispensed advice to choose speakers first and then the amp? Because if the loudspeaker is easy to drive it may be best to choose an amp that is not overkill in terms of power for that particular loudspeaker. That said, there are other factors that go into choosing an amp for any given loudspeaker. Some of these criteria are just empirical experience as to what mates well in terms of system synergy. That said, when JA of 'Phile measures an amp and concludes that it needs to be mated with loudspeakers of a certain impedance of vice-versa, that advice imho can be relied upon.