That's because it's a bigger aircraft. However the F-35 can carry a bigger bomb.
True.
The F-35A can carry two 2,000 pound bombs internally whereas the F-22 can only carry two 1,000 pound bombs internally...though they both can carry the same number and weight of SDB's (which are the future IMO).
But that is only for pure stealth missions which will clearly be the vast minority of future operations considering the expected adversaries of America in the near future (low tech defences).
Plus, the F-22 is much more survivable against potential high rate adversaries...I would rather have to do more missions with the better weapons system.
Plus, the Air Firce already has 167 F-35A's. If that extra 2,000 pounds of bombs are so critical, then just use the existing Lightning II's for those particular missions.
And for the super high value targets you would use cruise missiles or the B-2 anyway.
But the vast majority of Air Force bombing missions since 9/11 have been and should continue to be against enemies that do not even have radar guided missile/AA defenses (which is the only real reason for being stealthy as stealth is almost useless against heat seeking missiles and basic AA guns).
For targets that don't require stealth, the F-22 can carry FAR more external ordinance then the F-35 and do it faster and at far greater ranges.
And if it has to fight it's way in and out, the F-22 is the far superior aircraft.
You want F-35's? Fine.
But if the F-22 can be had at anywhere near the cost of the F-35, I will take it in a heartbeat. And I bet you their pilots would as well.