Having developed statistically calculated strengths of 'finishing', 'dribbling' and 'holding on to the ball', Kane boasts the necessary attributes to link the midfield and attack. While he is unlikely to reach Ronaldo levels of excellence, as per Vertonghen's suggestion, Kane has started to realise his potential under Pochettino after rising to the fore under Tim Sherwood.
A victory can quickly paper over the cracks however crevice-like they may appear. Spurs weren't great at Hull but they were better than they have been for a while and despite poor old Steve Bruce's gripes, they were worthy winners.
He shouldn't go. It's as simple as that. The run of embarrassing defeats and general disappointing football has endured through three managers now, and adding a fourth name to that list will do nothing at all, except perhaps lengthen the process.
Knotted brows and shaking heads emerged from White Hart Lane on Sunday afternoon; supporters bewildered and dumbstruck by what they had seen. Pouring out of the away end the Stoke fans scratched their heads and demanded of each other in disbelief: how on earth did we only manage to beat that shower by just the one goal?
Pochettino's record is ten wins and four defeats in all competitions so far... If he can achieve all this with a sluggish, misfiring squad, imagine what he'll be able to do once he's got them finely tuned and boosted by a couple of astute signings in January. There's always a bright side if you're prepared to rummage around for it.
Pochettino, Levy and almost all of the players were about to be subjected to a tsunami of the internet's choicest football rage. I say 'almost' all of the players because among the lethargic, highly paid, multinational superstars were a couple of notable exceptions in Ryan Mason and Harry Kane.
There have certainly been huge improvements in Lamela and there are more than just glimmers of the talent that originally won him a big-money move to England but Tottenham more than ever at the moment are in need of a player capable of changing games on his own.
Pochettino has said that introducing new tactics, training methods and the like doesn't take long but that changing mentality is a much lengthier process. The measure of a good manager is whether he can make his a team add up to more than the sum of its parts.
If you're a football fan predisposed towards optimism, you spend a fair bit of time constructing arguments to justify your sunny outlook.... Then the players come out of the tunnel and play with such leaden ineptitude that you feel they're openly mocking you.
All of which, like the form of Kane and Lamela, is good news. Pochettino is not the type to let a home win against a Greek side no one has ever heard of distract him from the bigger picture. His steely resolve, evident since the desperate home defeat to West Bromwich Albion, is what's going to drag this team kicking and screaming towards the fulfilment of its potential.
It's hard to pick a player out to cheer for this season, partly because nobody has done anything spectacular, partly because the system played doesn't elicit excitement but mostly because all of the players, and even the manager just come across as quite dull.
Whether a striker of the required calibre becomes available in January - let alone whether Chairman Levy will be inclined to make the necessary investment - remains to be seen. But if they do find someone capable of finishing the chances the creative department are increasingly serving up, this could yet turn out to be a very good season for Tottenham.
Of the four, only Manchester United currently lie above Spurs - on goal difference - but they look more and more like the modern version of Ossie Ardiles's flaky 1994 Tottenham team which had the best attack in the league and the worst defence.
Vlad Chiriches has been looking like a disaster waiting to happen in the Spurs defence for some time and on Thursday night, late in the game, the waiting ended. His ugly air-shot of a hashed clearance, compounded by a desperate hand ball in full view of the referee, resulted in a converted penalty for Demba Ba and an equaliser for Besiktas.
t wasn't a pretty performance from Spurs but that wasn't the point. Pochettino desperately needed to show who is boss and to take something away from the game. He achieved both these crucial objectives and with his authority now re-asserted, he will be steely in his determination to ensure the renewed impetus and resolve are maintained.
If the near-inevitable happens, the Tottenham faithful will find themselves wondering why Arsenal's dominance, which was close to total for twenty years before a brief spell of parity in the Redknapp/AVB era, appears to have returned so quickly. At least they wont have had any high hopes dashed.