Active low-pass filters --- good to what frequencies?
I believe your analysis to be good. I've made sallen-key 4th order filters that cut-off around 3 MHz with absolutely no worry about performance. I don't see that 10 MHz is unachievable.

It's all about op-amp choice. For a unity gain stage it's easy to ascertain where the gain starts dropping below (say) 0.99 and regard that as the limiting frequency. On the other hand, the output impedance of an op-amp usually gets worse as it enters the MHz regions so you have to be sure it can deliver the peak current without clipping or going too sloppy.

You also have to consider slew rate limitations but, as far as I'm aware, that's about it.

It's quite possible that The Art of Electronics, 3rd Edition didn't make any updates on that section since it first came out in 1980.