CL in general is a level below the PL, we would certainly struggle against a select few elite teams (PSG, Bayern in particular) but we've just seen Spurs, a club that might (hopefully) go down, easily make the knock out stages.
I think we know how Carrick wants to play in general - we have his stint when he and McKenna were leading training for Ole and now we have this small sample size. It can be quite entertaining if teams come at us but I think he's a results focused person first and foremost i.e. play to the team's strengths, keep players happy, most away games you set up to not get beaten, reliant on sitting off a bit to create counter attack space, I would say broadly risk adverse from what I have seen (none of these are negatives in honesty, it's all very sensible). I'd say he's a very safe bet for us to be good again next year without really upsetting the top of the table. Get him 2 x CM, some cover at FB and an LW and there's no reason we could not replicate this kind of league finish and have some 'ok' cup runs.
Question is what is the priority for Ineos - do they actually want an attacking manager? Do they simply want to stabilise after the Amorim debacle and somewhat hide themselves from the public eye for a bit. if they have balls, they go for a different coach who lines up with their way of thinking and aren't scared of making an error (and live with the decision). I suspect they will stick with Carrick though, it's a cushty job for Berrada/Wilcox and I think they are hesitant to put their neck on the line after how poorly Amorim ended up.