writes:

Not always. Not at all always.

That's why I said "overall." It's a general rule, not an absolute rule.

"Always" just doesn't deal with reality. Works on a sim, I
suppose.

Odd that you saw this word, but not the other one.

If you'd ever studied meteorology (Commercial Pilot
groundschool) you'd know that the temp falls with altitude until we
reach the tropopause. Then it starts rising until we reach the
stratopause, where it starts to fall again through the mesosphere, and
once we reach the thermosphere it rises again and keeps on rising,
though the density is so low that the actual heat content is minimal.

Yes. I had previously alluded to this.

If pressure rises, so does temperature.

Then why is the atmosphere hottest in areas of extremely low pressure?

The atmosphere is much more complex than you think.

I didn't comment on its complexity.