It's the kind of thing I've done and then massively regretted it and suffered huge guilt over and struggled to break the habit.
IMO it's not great because it removes that relationship between eating and listening to your own appetite. Means food becomes a kind of shovelling in while distracted sort of activity. The fact you're getting more into her is kind of proof of this, rather than being a positive, though I get it, DS1 barely ate anything at all until he was nearly 2 and it's horrible. As a result of the screen eating he also has absolutely awful table manners and it's always been too much of a hassle to commit to all sitting at the table together to teach him any and not a nice experience for anyone to the point we are just hoping age will do it for us (which it sort of is - he's 11 now and eats fine, especially when we're out and about/with non immediate family).
I know weight/eating can be tricky emotionally when she was prem - but she's not tiny any more, is she? If I have perfect parent head on, I would avoid the screens, try to bite back control over portion size and trust her to eat what her body needs. Aim to be present at mealtimes, see it as a social thing and just mentally block out the time it takes because it's OK for it to take that long, she's only little.
IRL I would most likely stick with the screens because it's easy, and lockdown is exhausting. Especially toddler teatime which is about when my energy levels are on the floor in general. And there are SO MANY MEALTIMES and I'm sick of being the one to supervise every single one of them.
So, yeah. Maybe just do it for now, and then once nurseries go back make it a plan to work on table manners and proper social eating etiquette before she starts school? :) Could be a good compromise.