No the odds aren't....
Over the past 10 years these are the top 2 draft picks the Pats had. Dugger, Uche, Harry, Williams, Wynn, Michel, Rivers, Garcia, Jones (Cyrus), Thuney, Browns, Richards, Easely, Jimmy G, Collins, Dobson, Jones (Chandler), Hightower, Solder, Dowling.
That's 20 picks over a decade. Some of those are good. Specifically Wynn, Thuney, Chandler Jones, Collins, Hightower and Solder. But that's 6 of 20 over a decade. And of those 6 Jones and Collins did not get past their rookie contracts and ended up not being longterm contributors, Wynn has severe injury issues and has been in and out of the line up. Thuney we did not sign past his rookie contract and franchised him once.
I guess you could say Jimmy G, but again injury issues and he started 1 full game for us and was injured in his second start. And maybe Michel who has been spotty and certainly isn't some big time running back.
So really Hightower and solder were the only two in that decade of early draft picks for us that ended up being big time longterm contributors for an extended period of time. Did those others help? Undoubtably. But not enough to fear missing out on the chance at one of them if you really like a QB.
You are highly overvaluing what we will get out of these picks. If Belichick really loves a QB it's worth more than the potential of what you might give up if you miss on them.