What does "more control of bass" mean? If you meant sufficient current to drive the bass woofers without more distortion, then it is equivalent to a higher SPL. If you meant a higher damping factor, then it is independent to the wattage anyway.
I have learned the following things recently.
I bought my current speakers, JMlab Alto Utopia, with the impression that they are easy to drive: 91dB and 8ohm load. But my KT88 monoblocks, 50wpc, couldn't drive them well. Upon more investigation, I found the speaker impedance drops to 3.2ohms. This means that bass will need 2.5X more power than the mid-range.
Then I bought a Counterpoint SA100 and upgraded it to NP100. Note that NP100 has several upgrade levels and they all have the same rating, 100Wpc into 8ohm and 170Wpc into 4ohm, with a damping factor around 40. I have tried the following upgrade levels: Basic, Basic Gold, Premium Gold, and Platinum. They sound *very* different even though they all have the same outout ratings.
So what have I learned?
1. The matching between power amp and speakers is very important.
2. The amp rating can be misleading at times.