Branson uses a DPF and mechanical fuel injection. I posted a link to a paper a while back that detailed a low temp constant regen system that could be retrofitted to existing mechanical fuel injection engines. I'm pretty sure that is what Branson uses. There are no discrete regens, it's always cleaning itself.
The drawback is that if you idle it around all the time you will eventually clog the DPF. There's a differential pressure sensor that will warn you before it gets bad. You then need to work it hard for a while to get the DPF hot. Running up and down the road is one way. But really the best thing is to run it in your regular work. The tach has a green line from 2000 to 2500 rpm (pto speed is 2400 or so). Branson says to run it in the green zone. I do most of the time. I've had no issues. Few people do.
Some people are into running at as low an rpm as they can. Or their tasks just don't require much rpm, like loader work (though I like to bump the rpms up so the loader moves crisply). If that's how you're going to run it and you are unable or unwilling to change, you might be better with a tractor that has discrete high temp regens. It'll have to do the more often because of the way the tractor's being operated. That'll take life out of of the DPF but it's still probably thousands of hours.
For tractors with regen, there's varying amounts of hassle. For many there's barely a change in operation especially if you're working the tractor at the time (i.e. mowing). The larger the engine the more likely this is, though it varies from model to model. Small tractors with turbos in cold climates have more problems. If you're running the tractor and about to park it and it wants to do a regen, you can either let it sit there running for 20 minutes or whatever, or hit the "do it later" button. But you can't do that all the time, that's how people get into trouble. It's gotta do it's thing.
One of the draws of the Branson for me was the lack of regens. I was worried about having to leave a tractor running to do its regen. Given how I operate it that fear was probably overblown. I like that the exhaust is not stinky and smoky. I dislike diesel smoke. My old Kubota would pollute the barn when I was changing implements. The Branson doesn't.
Mahindra uses a DOC and EGR instead of DPF. It has no regen but it does have EFI.