Personally, I prefer it because you don't have de-solder both legs of the cap simultaneously. Also, you're not adding any heat into a possibly damaged cap.
The only downside I see is if you get sloppy and cut into the cap, causing electrolytic fluid to spill out. If you don't have enough room to get snips between the board and the cap, and try to cut it anyway, that could cause a rupture in your cap.