Does it make sense to turn a closed Mac upside down when it's hot?

After some period of work with my MacBook Pro its bottom part can be hot.

If I want to take a break and close the Mac - does it make sense to turn it around - the bottom part will be on top. Is it better for the working of the fan?

I have seen some users turn their notebooks around the way that the bottom part doesn't have contact with the surface anymore.

There is no need to do anything special with regards to your Mac feeling hot. Your Mac's fans are managed by the System Management Controller (SMC) which will ensure that your CPU etc are protected in the event your Mac overheats to the point that it could cause damage.

Your question doesn't actually specify what temperature your Mac is at, so it's impossible to comment on whether it's too high. However, MBP models usually range from about 40ºC (104ºF) to 100ºC (212ºF) depending on whether the CPU is idle or under load. CPU temps (just like ambient temperatures) typically have a bearing on GPU temps too, especially within the extremely confined spaces of a MacBook.

If you'd like, you can refer to the Intel Mac Temperature Database to see the various temperature ranges reported by users. You can also filter the list by model etc.

If you're still concerned, you can also Reset the System Management Controller (SMC) on your Mac to see if this has any noticeable impact on what you're experiencing.

You are right about the metal MacBook Pro case running measurably cooler with room to breathe under high heat generation loads. I prefer to make a small air gap so the airflow out is still with the keyboard horizontal if you don't have a fancy horizontal or fancy vertical stand. Small air gap is a pencil or two under the back side if you have a stable desk.

If you do have a fancy vertical stand (twelve south), I've never been able to measure a temperature difference between having the hinge on the bottom or the hinge on the top. I also have never seen a case where simply having it horizontal on a flat surface overheated or damaged a Mac, but if I can keep it measurably cooler with a vertical case, I spend that money every time to be secure and tidy.

Now that you're running in closed clamshell mode, the entire bottom surface is exposed to let radiation and convection remove as much heat as the ambient temperature can allow.