I'm sure Kane would go eventually, just like every single player at every single club (Ronaldo, Neymar etc etc) but can you find me one quote where Kane has actually said "if I don't win stuff here I'm going"?
Come on man, why would he say that? Name me any player that has ever said anything like that? If you know Kane at all you know he is extremely ambitious. His loyalty will last so long then he will go, I don’t know why is Spurs fans never learn, we have been though it now win a good number of players over the last 10-15 years.