Not at all. Tottenham weren't anywhere near as polished under Sherwood as they became under Poch. Even since then he's signed the likes of Trippier, Delli Ali, Eric Dier, Alderweirald, Wanyama, Son, Lucas, Davis, Sissoko, and D. Sanchez. All of these players play a role towards the squad he's built. To put the efforts of what he has built down to him "inheriting most of his best players" is a lazy argument.
Yeah, he hasn't won anything but Ole hasn't either so when looking between these two best candidates we can't really knock points off Poch for failing to win silverware.
Regarding fortune if he's managed to get into the Champions League for 3 consecutive seasons(?) with a net spend of 30m I think his skill-set has more than luck. Sure there is no trophy for such an achievement but it's impressive nonetheless when you have 3 other clubs spending 300-500m more than you have on their squads.
I want to see how Poch does with a budget with this in mind. Doesn't have to be at our club, it can be somewhere else (just not with a domestic rival!)