Possession says more about style of play and game flow than quality.
Shots, and somewhat better xG tells a bit. It won't tell if a team will win or lose a game. But give me an xG for of 0.1 or 2.0 in any given game and I'll take the latter. Give us an average xG for of 1.5 for the rest of the season and we're almost certainly going to get better results than if it's 1.0 (assuming no changes to xG against).
Results are what matters. But results are over time clearly linked to performances. xG gives an indication of performance while obviously not being some perfect factual answer. I'd rather see a loss with xG numbers like against PSG than a loss with xG numbers like against Arsenal. At least the PSG game gives us some realistic reasons to think we'll do well in the future.
Not to be pedantic but I’m gonna be pedantic.

If you have:
- 25 shots
- Total xG ≈ 2.0
- No individual chance over, say, 0.15 xG
Then what you really had was:
- Lots of low-probability efforts
- Probably many blocked shots, tight-angle attempts, or pot-shots from distance
- Pressure but not threat
So while the cumulative xG says “you created enough to score twice”, the experience of the match will tell us differently.
“We never really looked likely to score — we just took a lot of low-quality shots.” xG per shot, shot locations, big chances created, etc, is more informative not just the raw xG total.
What I find interesting is that in the period when we had Kane and Son I don't think we appreciated how far above the statistical norm their finishing was. Kane & Son were absolutely xG overperformers. xG models tell you what an average player would score. Kane and Son were not average players. We often had games where the xG said “1.1 expected goals,” but Kane would stick one in the top corner or Son would curl in something from 0.06 xG.