Step 1: swap LM2596 module with another one, they are cheap, no sense chasing geese if you can just buy another
Step 2: if problem still exists, how much power is being drawn, what is the temperature of the DC-DC converter, (measured at the tab of the IC)
The LM2596 does have thermal protection built in, but it's a bit of a long draw to assume that the datasheet applies to an IC on one of these modules from China, which may or may not be legitimate LM2596 onboard.