There is a consensus that Improbable's breeding is not for the Derby?

A large number of idiots in that consensus then.

City Zip is an extremely versatile sire and the past 20 years have shown that sprinting tendencies on the sire side are often outweighed by stamina influences on the mare's side in Derby winners, going all the way back to Smarty Jones.

City Zip is a half to Ghostzapper FFS

This one is out of an AP Indy mare, it doesn't get better than that for stamina these days unless you start going overseas.

And as for running lines, the horse consistently runs faster BRIS pace ratings from E2 to E1 and then from LP to E2. Late pace is always his best figure.

There's absolutely zero to suggest that there's anything in his pedigree or running lines that indicates 10F will be a problem for him, relative to these other horses.

Improbable may not win the race for other reasons, but pedigree is an absolutely ridiculous reason to discount him.