I'm not a drummer but I've paid enough attention to the ones in my life...
The biggest limitation of only having one pedal on the kick drum is going to be speed. There are definitely drummers out there that can compete for speed on a single kick pedal compared to what some guys are capable of on a double....but those guys aren't common, and its just physically not possible for the fastest player on a single kick to match the fastest player on a double kick.
As far as the hi-hat, I think thats just going to be the drummers preference. There's no reason they wouldn't be able to rest their foot on the pedal (assuming they aren't using that foot for something else in the meantime) but they might not want to for whatever reason.
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