If a speaker manufacturer recommends higher power, then what likely will happen with higher power is a more powerful and dynamic sound. You can get good sound with the lower power amp, but it will not be as powerful or forceful with music that calls for that grunt. This applies to a small room too.
For example, Led Zeppelin's When the Levee Breaks. Listening to that song on my higher power requirement speakers with the lower powered Benchmark AHB2 vs the CODA #16 is a huge study on contrasts. Both sound good but with the CODA you feel the music in your bones.
If you are listening to Sarah McLachlan (as I am typing this) it does not matter if I used the AHB2 or the CODA #16.