The problem is this: temple of doom is in fact a prequel. And that is part of its problemEnough with the 'Temple of Doom' is a prequel stuff. Yes, I know it takes place before Raiders. But there are NO plot threads that require it to come first in order to better understand Raiders coming after.
And, to be honest, it doesn't even hold up to scrutiny. Indy doesn't believe in superstition at the beginning of Raiders, and yet in Temple of Doom he recites the incantation to make the stones catch fire. There's also the bit in Temple of Doom with the two swordsmen and Indy reaches for his gun like he did in Raiders but - surprise - this time he doesn't have it. That joke wouldn't work if Raiders didn't come first.