A lot comes down to whether you're teaching your students how to edit, or how to use a particular software suite/app. Those going to set up their own systems will probably choose the one you've used (especially if your teaching focuses on it's specific features, UI, etc); the rest will end up using whatever their workplace uses (and shouldn't have trouble transferring skills if they've been taught editing rather than a specific package.
Many secondary schools in my area supply their students with Chromebooks that mean they use Google's word processor, spreadsheet, etc. As long as they're taught the principles behind the use, rather than app-specific features, they have no problem if they need to switch to, say, Word, Excel, etc when out in the world of work.
If I need to use a separate DAW I usually use Reaper, but Audacity is often a good one on which to learn the basics. For video, Clipchamp or iMovie (the ones included with Windows or macOS, respectively) might serve when teaching the basics, although that means not everyone will be using the same package and something you probably need to avoid. As you say, the DVR limitation is probably the GPU requirement but, if your students are serious about the subject, many/most may already have a laptop that will be useable. AdobeCC is usually the educational option but, if your students want to continue using it after the course, they'll need to pay the ongoing subscription. (I have a full CC licence available to me via work I do for the local college, though I don't actually use any of those apps nowadays; I weaned myself off Adobe when they went to the subscription model as I won't always have education access. Planning ahead has meant I've found alternative packages (like DVR) that are as good, or better, for my needs.)
Just my 2¢ worth that you're free to ignore
