I could probably manage either way. I tend (due to IT background) to be somewhat of a tech geek. This number for me is a little involved, with a lot of calls intermixed with the drum line entry and, yes, flying drummers. (OK...maybe not flying....we've got a few rigged into harnesses....more like "lifted" than flying. Flying would be cool look....would give me a stroke however. We did have a cast member literally "break a leg" on stage last year and leave by ambulance....but that's a different story. Let's just say there is a reason we tape steps and edges but it does no good if cast members exit in the dark without looking down.)
Anyway....my thinking was if I'm away from the score for more than 10-15 secs then keeping count by bass drum beat and recovering position in the score would be pretty tough...especially if I was away from the score resolving a problem. With a stopwatch I'd have to get time from stopwatch, find nearest timing point in score, figure out exact spot. Not hard, just not extremely fast. With software, I could have both a running digital stopwatch to get back to the score and a countdown timer to next cue. So worst case the software might be off a beat or so (due to conductor timing) and I can visually call the cue as long as the software gets me "close".
I should mention....most of what I've learned about stage management I've learned from this website. You guys have been a HUGE HUGE HUGE help. This is an annual church musical/drama production with a cast/crew/choir of about 250, an audience approaching 20,000, and a budget for a pro stage manager of zero. I usually direct on Sundays so get drafted to do this each year. Live video direction is quite a different world and I probably would have been in completely over my head without some of the pointers and help from posters here.