The LVG comparisons are so incredibly lazy. They're very different with both in the way they press and how they play in possession. Besides, LVG's as a manager only has a lifespan of 2 years before he has a fall out and his biggest problem was that he thought he could do all the transfer business himself which led to some incredibly poor signings, like Rojo off the back of a few world cup games he saw while he was analyzing Argentina for the Dutch NT.
Our squad right now is very good and complete. ETH would certainly play Maguire, Shaw, Varane, Rashford, Greenwood, Sancho, Bruno and find some use for Ronnie, VDB (and one of the wingers off the bench). So we're talking about a DM we need anyway, a RB we probably need anyway to replace Dalot, and a GK that's better with his feet. My, my, 3 signings. What an overhaul!
He'd certainly need a full pre season to implement his stuff, but a lot of Ajax's starting players aren't from the academy: Tadic, Haller, Berghuis, Antony Alvarez, Martinez, Pasveer (7/11 last night). Unless you're saying Berghuis is some incredible player that Bruno can't match, I see no reason why ETH couldn't properly coach most of our players.
If I had to define "the united way", which is a nonsense term, I'd definitely include exciting winger play. And the great squad Ole has built includes a lot of great wingers. We'd be morons to hire a 5-3-2 manager and let them rot on the bench.
Pep, Klopp and Tuchel would challenge for the title and win a trophy with our squad. They're not available, ETH is.