True.
Looks like we may need to agree a definition of home-grown. For me it's someone who's registration has only ever been with Tottenham throughout his academy years. He may well of course have spells out on loan to several clubs before returning to make his breakthrough into the first-team squad, so long as it's us who have always held his registration.
There aren't so many of those around, to be honest. If you look more deeply into it, you'll find that a lot of players who you think of as having come through a particular club's academy actually only joined that club well into their development - Harry Kane being a case in point. He was released by Arsenal aged 14, iirc. And Alex Pritchard started at West Ham before joining us aged 16.
I'm fairly certain that Andros Townsend has been with us all the way through, though. And Ryan Mason.