All remains to be seen. I said we will have a very good idea about TFG by the end of this window. Right now they have done the things they HAD to do if they were to show ambition - but those things don't necesarilly mean they are ambitious as they are also sensible things to do to stabilise the club. It's the next six weeks that will show us where we are...
I think Branthwaite is the most significant indicator so far. It would surely have been better from a "financial stabilisation" point of view to cash in on him this summer and spend some of that on properly strengthening the squad. That leaves me to believe they are potentially more ambitious than you suggest above. However, the proof of the pudding is in the eating, and we'll only eat at the end of August.
I doubt Roma will be prioritised over us - I think they can do both. And the Premier League is still far more lucrative than Serie A. There is no reason a properly-funded Everton couldn't win the Conference League or even the Europa League in a few seasons. That's a path into the CL. However, even if they DO sweat us, that's still WAY better than where we were under Kenwright and Moshiri. If they want to make good money on us, they'll have to make us a properly attractive bet. That means top six or seven. That would be acceptable to me over the coming three seasons.