If Vinny were to go to Spurs and spend two or three seasons helping them to qualify for the CL, that would see him much better equipped to succeed Pep than two or three seasons with Burnley would. But it would be hideous to see him go there and be sacked, thus setting his career back, after failing to meet unrealistic expectations.
Spurs pay lower wages than anyone in the Big Six, and stats show that the wage bill is usually a key determining factor in where a team finishes in the table. Pochettino and Conte have actually overachieved in recent years by qualifying for the CL with that lot.
Yet Levy will probably find his trigger finger becoming itchy if any new boss fails to emulate that feat. As a result, I'd be very wary of taking that job if I were in Vincent's shoes. The potential downside is simply too great.