You say "12V" in your title, and "12V" in your message, so presume "12V" is not a typo.
But the datasheet you linked (which matches the part number on your schematic) clearly indicates that switch is meant to run it's light from 125V...
Meaning - You got the wrong datasheet
If the datasheet/part number are wrong, perhaps something else is wrong too.
Like...
Suppose you think you have a 12V drive lamp, but it's really meant to be driven on 5V. That'd explain why it gets so hot.
Or...
The pinout isn't what you think it is
Or...
Just take one of the switches apart. They're not magic. You'll figure out quickly by examining the mechanism if the switch is different from what you expect.
ones with more load get even hotter
makes sense if the contacts are being overloaded \$\endgroup\$