To the OP - I was playing a couple days ago, and on my first cold start in the A-10C is used the Auto-start function. It ran through the normal sequence including having the throttles visibly move to the idle position, but the engines did not actually start. The auto-start sequence proceeded through all the subsequent steps, but a bunch of Master Cautions etc continued because of the mismatch.
I assumed I had done something wrong, like bumping a switch or moving the throttle at the "wrong" time.
So I ran the Auto-shutdown sequence and let it complete. Waited a minute.
Then ran Auto-Start again.
This time, the left engine failed to start but the right engine spooled.
So I quit out, and reloaded into the mission.
Auto-start worked properly that time, with no issue at all.
So, I have nothing useful to add here except, maybe, "you're not crazy".
Good luck.