My take on Kane is as follows: he is a trying to change his game, and this is having an effect on the whole team's pressing capability.
It is a truism that pressing starts from the front, and the press has to involve everyone, or at least the front group to start with. This over the last 5 years or so has been especially true with Spurs, and has been led by Kane. However, since his latest (which was by no means the first) ankle injury, it seems to me that he doesn't lead the press, and even if he does press, he doesn't press closely enough to block a pass. I put this down to a recognition on his part that if he continues playing the way he used to, he is going to cut short his career. This to me is why he drops deeper far more than he did previously. He has ceased to lead from the front and is trying to create from deeper and arrive late. This can come across as a reluctance to get involved, but I feel that he is trying to evolve his game to something safer but equally, or more, productive, and he hasn't got there yet.
If you add to the change in Kane the lack of stability in the squad, with Eriksen yearning for Spain, Alderweireld happy to run down his contract, Rose wanting to leave, then wanting to stay, and making political statements which are not a help to the club, Wanyama hitting a brick wall, Lloris becoming progressively less reliable, three new signings who have hardly been available as a result of injuries, Foyth not being available until months into the season, Dier being a shadow of his former self due to illness and consequent injuries, Davies coming back from a major long term injury which he played through all last season, Aurier wanting to leave then wanting to stay, sometimes playing well but always lacking discipline, being an accident waiting to happen, Alli struggling with hamstring injuries for the last season or more, Pochettino predicting at the end of last season that this year would be the start of a painful transition, but adding to the instability by comments about nearly leaving at the end of last season, and then making a lot of negative and defensive comments, and making some curious selections, odd substitutions, changing formations, and never playing the same team twice as he struggles to rebuild, it is a wonder we are not bottom of the League. I think this is all part of the painful process he predicted and that things will get better, but who knows? If, heaven forbid, Gazzaniga gets an injury, then we will be as Harry Redknapp used to say, down to the bare bones.