
Continuity mistake: When Short Round rams the car into the back of the rickshaw, in the next shot facing the rickshaw driver we can see that he loses his right shoe (viewer's left) just as he's lifted into the air, but his shoe returns in following shots. (00:12:05)
Answer: This is conjecture, but it seems the general function of setting Temple of Doom before Raiders of the Lost Ark is that it helps set audience expectations that the two movies are self-contained episodes. For instance, Karen Allen has said she wasn't disappointed about not being asked to return because she'd already been told that the next installment was being set in the past before her character is reunited with Indy. Conversely, since we're already aware Raiders makes no mention of the events of Temple of Doom, we know we shouldn't necessarily expect any further installments to continue directly from prior movies' storylines regardless if they are set forward in time.
TonyPH