15 months or so now with Omnipod 5. Yes, running low is my experience.
I do three main types of exercise. During the week, an hour or so gentle walking in the afternoon, an hour or so cycling or running before supper, and at the weekend, a few hours walking after breakfast. These present different challenges.
First the walking one. Breakfast insulin dominates this problem. When sitting still I'll typically take 15u, but when walking I'll take 10u for the same amount. This is to try and get a balance - there's time between eating and setting off, and if the insulin is too low, things go sky high. But the other side is that when I start moving, there's a lot of insulin on board and that becomes very effective and I go low quite quickly. Stopping the pump earlier gains up to an hour of it not dosing me extra - it could give me 3u in that time if I was getting to 11-12mmol/l (high, but not sky high) and that would be a problem later on, as it then brings me down harder than is useful.
I eat my way out of the lows once they start - I'll bob along just under 4 for a while. I'm lucky in that I don't need to worry about how much I eat though. I also don't always pause for a morning walk.
For the afternoon walking during the week, I'm setting off about 6/7 hours after breakfast, and the tail end of the 15u is still quite active. I'll eat before setting off, and I don't want the pump compensating, so I pause it and let the walking take it down, which it does most of the time. Sometimes I'll need to eat a bit more, sometimes I'll need to start the pump again.
For the cycling/running, this is a bit more energetic, and I'll have the basal hanging around. If I were organised I could maybe drop the basal a couple of hours before, but I find it easier to instead eat a bit to cover the basal, but stop the pump so it doesn't react to doing that. Unless I'm very high, I'll often finish at about 4 or 5, which is about right.
Bits which influence unhelpfully :
The more energetic exercise builds up my reaction to insulin. On a Monday, I need rather more than I do on a Friday. The walking doesn't do the same - maybe unless it's quite a long one (10mi+).
The pump does a good job of taking care of the basal changes for this, and that's one of the main reasons for having it.
Sometimes the high just doesn't come down, even with exercise. Maybe I've eaten just a little bit too much without having enough insulin on board. I need to be careful when pausing for that - the automatic mode will handle it, but when paused I obviously need to watch.
(it would be really nice to have a pause while in automatic mode which restarted after a defined time without intervention - eg I could tell it to stop for 30/40 mins, and adding insulin after that wouldn't be a problem for the remaining 30 mins, because that's not long enough for it to crash. But that's on my list of things Omnipod could do better and there's absolutely no hint that the company will listen or do anything about things - they've got a way they want you to behave, and they don't want to consider anything else)
Anyway, this is all a bit rambly. And quite a bit isn't necessarily helpful because of the way I use food to balance things. But I think the main thing I would say is that if you're confident about taking care and reacting, you can take more control than you're supposed to, including pausing. Trial, error and experience will tell you what works.