Listening thru a tube amplifier is still partially solid state. What do you think your streamer, DAC and other components are made from? Even within the tube amplifier the signal passes thru capacitors and resistors.
The difference is a tube amplifier is usually a transformer coupled design. No solid state amp I have ever heard be it for hifi or guitar amps truly emulates a transformer coupled tube sound. In the guitar world millions of dollars have been spent trying to do it with solid state and digital emulation. But never truly accomplishing that.
The main difference I hear with solid state is compression of the signal. A flattening of the sound stage.
I suppose there can be a more technical explanation of how electrons jump from the hot element inside a tube versus how they move within a solid state transistor that impacts the tone of the signal but I would not be able to speak to that with any certainty.