A lot of this depends on just how big the Indian and Pakistani nuclear weapons really are. It would be optimistic to assume they were the monsters dropped on Japan (which is the assumption the aircraft designers of a half-century ago had to make, but I could imagine them being awkwardly large for sticking onto an IRBM or for external carriage on a fighter.

So a bomber able to carry a lot of conventional bombs internally, or a tanker aircraft, might be a bigger strategic worry than it seems. Though, in the fifties, Chuck Yeager was commanding USAF fighter-bombers, with a nuclear commitment, which couldn't carry enough fuel to get back from their targets.