An electric guitarist usually has a pedalboard that they use to make different guitar tones. Let's approach this like an electrical engineer might. Time is a straight arrow: call it t. The guitarist plays, and their guitar pickup records a signal. At any time t, measure the value of this signal's waveform: call it x. That signal can go into a pedal that maps each value to create an output signal. Call it f(x, t). The…
Delay and reverb may be LTI in your definition, but they very much do matter what order they are in, every time.
Delay before reverb is going to give a more staccato sound, whereas the reverb before delay is probably just going to wash the whole thing out if you’re not careful on your settings.
Great comment otherwise!