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Would the A-bomb have been useful in 1945 if Germany had hung into August?

The B-29 project cost more than the Manhattan Project, and the A-bomb would not have been deliverable without the B-29 (Lancaster could have carried it with some mods to bomb bay).

Imagine B-29s going after Germany in mid-1945 like they did Tokyo.  Germany probably still had more of an AA threat.

"We" tend to think of wars as ending like WW 2 ended, almost total destruction, but in history that is less frequent I think.  The US Civil War ended with just about complete demolition of the South's ability to make war at all.  It's fortunate the south didn't engage in guerrilla tactics.

There wasn't much known at the time about radiation impact.  We endured years of nuclear weapons testing in the atmosphere before it was stopped.

I think the most deadly single bombing raid was the one that hit Tokyo with incendiaries and HE.

Your average Japanese person was being lied to about the war and had no reason to doubt it until the B-29s and B-24s started hitting the home land in force.  Japan had never been invaded, or attacked, aside from Doolittle (which was a shock for that reason).  I think we launched some B-29s from China to hit Japan early in 1944 but the logistics of that was ridiculous, so it wasn't until Saipan and Tinian and Guam fell (mid-1944) that the bombing started, which was November 1944.

I guess by then they knew things were going badly, but not how badly.  The Japanese armies were still deep into China in large numbers.  I'm sure by early 1945 the average Japanese person was beginning to feel the pinch on food.  The islands could have been starved into submission by 1946 entailing mass starvation into the millions.

Germany probably still had more of an AA threat.

Not probably, definitely.  The Japanese AA threat was minimal to nonexistent by 1945.  The bombing raids over Japan typically suffered more losses to mechanical issues than to enemy action.  They didn't have many planes, they didn't have any fuel even for the planes that they did have, they didn't have any experienced pilots, and their planes were not up to anything close to German standards.