Just what would you consider "over the top" post processing? A candidate...
I shot this photo on a walk through downtown a couple of weeks ago. I had just downloaded and started using Luminar, a fun and easy to learn image processing application. The original photograph was no great shakes. While there was sun the sky was bald and cloudless and everything was a bit drab. I pushed some buttons and yanked some sliders and it got better. But where the seatbelts came off and things went over the edge is where I started playing with the sky replacement feature.
This is the part of the program that will take you right over the edge into kitsch territory. Yes! "Dramatic Sky." And then you can use the A.I. Sky hyperzang filter to add in stuff to your sky such as: The Aurora Borealis, a mountain range, a flight of birds, or, in this case, your own eagle.
Yes, the program encourages one to go right over the top but in defense of the apps designers I have to say that you can populate the sky gallery or the hyperzang ultra-chromatic exteringnator filter (not the official name...) with your own images and they can be as subtle and calm as you want them to be.
I think software makers of products like Luminar 4.0 and Portrait Professional 37 include over the top stuff to get you to play with their applications and see how they work. You can also use things like Sky Replacement in conjunction with layers and masks in order to tone down effects and have more control.
It's fun to play around with this stuff and I can see commercial applications galore. Everyone wants a beautiful sky behind their building or their factory. It's just human nature. Not much call for low contrast, gray, rainy day filters...eh?