Theoretically could you wire a guitar to have no volume control and just a tone? If so what might it sound like
Absolutely. It'd a bit louder and a bit brighter. (This is of course assuming that you left the tone control circuit the same and simply removed the volume control).

Do you have any particular reason for wanting to know? It seems like an odd idea to me. I'd much rather get rid of the tone control than a volume control. But to each their own, your guitar, not mine.
ya u can, u just wont be able to turn down the volume lol :p if anything it would provide a much cleaner signal cause thats 1 more thing out of the way between your signal and the amp.
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