Noah,

Space will do spillover in bypass, some call it trails, we call it DSP+FX bypass mode.  Space will also do spillover between presets, this is what we call SPILLOVER.  So I think we've got you covered. 

 I'm actually not sure if any other reverb pedal has both types of spillover, there are plenty with bypass spillover, but I don't know of any with preset spillover (or 100 presets for that matter). 

-Russ