UEFA coefficient is only based on European results
But the British pairings will depend on who wins the final. If Cheslea qualify as champions, then I think the pairings will repeat those of this past season (as the same four teams will qualify)
pair1 will be Rags and Chelsea, pair2 Arsenal and City.
But if Bayern win, then who gets to be in pair1 between ourselves and Arsenal? I would expect that Arsenal would make it on any formal criteria; their support within the UK is higher than Chelsea's, and their European support not much less. But I can suspect strong lobbying by the Prem and FA to pair Rags and City, as it makes it a lot easier to organise the calendar if we are not regularly playing on the same day.
This makes a big potential difference. as the main functin of the pairings is so the draw can be rigged in favour of the teams that broadcasters want to see in the knockout rounds. If we are paired with the Rags, I would expect us to be allocated a group with one big name team (IPorto, Milan or Madrid) and two small league champion teams from the qualfiying rounds. If we are in pair2, I would expect us to be allocated into a group with Valencia and - probably - Dortmund.