It’s important, the designs aren’t often complex, but a tube Amp Designer has a lot of levers to pull that affect the final sound.
The designer picks a load line, and that determines the linearity of the amps response.
The pre section, can be resistor/CCS/Gyrator or choke anode loaded, the cathode can be offset with additional power supply taps, resistors, diodes, leds, if it’s a resistor it can be completely or partially bypassed, which removes a source of hidden feedback.
Stages can be transformer, capacitively, or directly coupled.
For larger voltage output tubes you might have 3 or 4 stages.
The output tubes can be fixed voltage or resistor cathode biased.
And that’s before you get to the power supply, and in tube amps because the common designs have no way to reject power supply noise, you move all the complexity out of the audio circuit into the power supply.
The way tube heaters are powered also matters, more so for DHT tubes, and it’s more important for headphone amps because of the inherent sensitivity.
Having said that a lot of basic designs are just straight off the tube datasheet.
And component selection impacts it just as much.
But you really need to listen, because for example 300B amps can be anything from warm and ooey gooey to near SS tonality based on the decisions the designer makes.
Luckily most designers tend to have a house sound.