Yeah, I've had prints come out fine but you want to avoid it is you can. I'd be interested in a list of most forgiving to least forgiving on that.
Generally the higher the viscosity of the liquid filament in the hot end and the lower the warping, the better. It also depends on what your printer does when it pauses - if it just stops and leaves the head in place it's pretty much always going to fail, but if it retracts the filament and moves the head away from the print horizontally to somewhere safe, it's more likely to be ok. PLA is probably the most forgiving on pausing, and LW-PLA is pretty good too so long as you have it extrude some extra filament when it restarts to compensate for leakage. I don't do much with PETG so I don't have too much experience there, but I suspect it should be ok most of the time too. ABS is ok with them some of the time so long as the chamber stays hot but frequently the last bit of filament forms a spike which the print head collides with when the print restarts or the print warps and has the same effect. I've had very poor luck with low hardness TPU as well on the few occasions I've had to deal with pauses during the prints, but most of my TPU prints are smaller parts so it hasn't come up much and the failures were with printer settings that left the head in place. I suspect nylon would also not be great since it warps even harder than ABS.
Overall, though, I think the big driver behind the reliability of pauses is the printer settings more than the filament - anything that results in the hot end staying in one place on the print too long is bad as is anything that leaves a spike on the print, anything that results in the print warping, and anything that results in the too much filament seeping out from the nozzle when its paused.