A tube amp, as a voltage amplifier, likes a regular impedance pattern.
All power amplifiers are actually voltage amplifier, but tube amps typically have higher output impedance, which makes the output vs. frequency load dependent. Please see the first graph’s black trace for a very typical example:
https://www.stereophile.com/content/doshi-audio-evolution-monoblock-power-amplifier-measurements I am aware that solid state, powerful amps are built to compensate for modern speakers’ complex impedance patterns,
I would not use this phrasing. Solid state amps tend to be more ideal voltage amplifiers, with a lower output impedance. There is no particular compensation, unless you mean a feedback loop, which tube amps can have too. They aren't compensating, they are lacking things like output transformers, which reduces the output impedance of the amp.
When looking for suitable speakers for a tube amp
This is actually a little complicated as a lot goes into this. The sound of your room, and your personal preferences may complement each other quite well.
There are some general guidelines, which is to avoid speakers who dip below 4 Ohms, and those with sensitivities lower than 92 dB or so. Generally also avoid ESLs or you’ll lose all the treble. Of course, you may have an overly bright room, or amps which are less sensitive to this.