Yeah the correct term is the "Big Sly 3"
I still think the *Big 4" was only after Chelsea had investment and then later it became the Big 6 when City and Spurs started challenging.
It's true that it's more to do with the earning and spending power of the club, than it is the finishing positions. However, there's only so much money they can pump into clubs, if they aren't making top 4. That's how I understood the plan, "make top 4 and we'll disproportionately reward you and call it fair gains" over a number of years. Then they could stay there(top 4), enjoy champions league status and the money that comes with that(broadcast revenue) and grow their own commercial revenues off the back of it, until superclubs were born, that no other clubs could compete with. Spurs never really had any of that, despite what the media sycophants say.
If it turns out they(the PL) were pumping money into Spurs regardless of their finishing positions. To help them break into the top 4 and become the Big 6 club they've become, that would make interesting reading. I don't think that's what happened but it wouldn't surprise me one bit, considering Alan Sugar's relationship with Rupert and the way the media seem to suck up to Spurs.