I'm a bit in two minds about him. From what I remember, he played a pretty fluid form of football with high-intensity pressing, and I was quite impressed by Spurs' style in general, before the whole no-signings-for-a-year debacle undermined the project. Though his lack of trophies is a bit of a concern, since it could be at least partially a function of the way he engages players mentally and emotionally. I watched the Amazon documentary about Spurs, and it's pretty clear that at least Mourinho's analysis was that Tottenham we're a bit too "nice" to really go the full distance of a winning side. I don't really believe that this is a necessary condition to be at the top, since Klopps teams don't seem to be built on that kind of machismo or whatever you want to call it, but it could be a slight weakness. Then there is the whole issue with him being very demanding about individuals putting the team before anything else. I could see that clashing with some of the egos in United, and it would potentially rule out building the team around the type of exceptional but 'difficult' personalities that United have so enjoyed in the past - thinking Cantona, Keane, Ronaldo and so on. Though he managed to get a lot of Dele Alli, so maybe this won't be such a big issue either.
Out of curiousity, and partially lazyness since I can't be bothered to take any kind of deep dive into historical statistics for the purpose of figuring this out, I tried to find a few videos analysing how Poch likes to set up. If those are to be believed, it seems he does alter shapes etc. quite a bit to fit available players, different opponents etc. So not LVG's mechanical kind of philosophy, yet definitely defined, underlying principles of play that you would be able to identify both in attack and defense.
It does seem like he favors more narrow setups though with attacking full backs to create the width, and his system requires very high energy levels in order to work properly. Pogba wouldn't really fit in either, unless he is willing to start looking seriously at the flaws in his game, and Poch apparently likes to use midfielders in the mold of Dembele or perhaps Kovacic to progress the ball in the attacking third. United currently don't seem to have a squad that really fits any of these, and personally I would really like to see some proper width in the team again in the not too distant future. The kind of tippy-tappy short passing interplay he allegedly favors would be a great fit for Rashford, Martial and perhaps Greenwood though, and Bruno should like the opportunities Pochettinos 10's appear to get as well.
It would be great if United had the vision to go for something a bit more wild though. Like one of the hugely talented and young German coaches, Hassenhüttl or as others have suggested perhaps someone in the mold of Graham Potter. Or just something a bit bold for once. Obviously that doesn't really fit well with Woodwards mindset of just getting whatever will be safe from the Disneyland branding point of view, so it's unlikely to happen.
I can live with Poch though, and would be genuinely excited to see what he could do with such a young and talented squad as the one available at United.