PESAs may also use solid state signal generators, so no difference there.
That defeats the purpose of a PESA. Solid state amp has voltage breakdown limits. You can only pump that much power to one before it burns out. So in order to have a large amount of power using solid state amps, you would have to take a large amount and bring them to a single cluster. You don't have that problem with analog CRT based amplifiers which is also going to be cheaper too.
I won't do it for a brand new PESA design as it presents no cost advantage to an AESA and might even be more expensive. But if you plan on upgrading an existing PESA to add LPI, that would be possible in paper. In fact you can also upgrade older small and lower power radars to solid state while retaining their mechanical properties, such as rotating antenna.