Their great team coincided with the league being the weakest it had ever been. United, Arsenal, Liverpool & Chelsea all rebuilding, City treading water before Pep.
The Poch Spurs side wouldn't finish top 4 today.
That all plays into the big problem at spurs which is the cognitive disconnect between expectations and what's achievable.
They can't compete with the rest of the "big 6", they won't be competing with Newcastle much longer. Without Kane they'd be 10th this season, and a future without Kane is coming around pretty quickly.
However the little taste of competitiveness they got when everyone else was rebuilding has made the fans think they can compete for trophies, and has allowed the club to sell that idea to several managers (although I suspect Conte has killed that on Saturday, as he and his agent are probably telling everyone else what they really think behind closed doors as well)
Their signings are bad, 5 of their 10 most expensive players are on loan. Levy hides behind the managers and players' failing, no one's even seen Joe Lewis for years.
It's very hard for me to see a future that doesn't involve them stuck between the top teams and midtable, a bit like Moyes' Everton in the old big 4 days when they seemed to finish 5th or 6th every season - except I think it's very possible that someone like Brighton get into Europe and with their much better management, are able to stay up in the conference/europa spots for a few years.