I am unable to find any meaningful answer anywhere else on the internet.
You can maximize Safari to full screen. You can maximize Pages to full screen. You can maximize most of the general use native macOS apps to full screen. But you cannot maximize Activity Monitor to full screen.
Why?
I have a dual monitor setup and many times I'm running a program on one screen and want to monitor its use through Activity Monitor on the other screen. On clicking the green button, Activity Monitor does not go 'Enter Full Screen', but just 'Zoom's to use the whole screen.
Best Answer
Each application can opt in or out of full screen mode. From Apple's perspective, Activity Monitor is an "instrument", like a calculator or a multimeter, for example. You can test it on your machine - Calculator app also refuses to go full screen because it is just an instrument.
So the devs concluded that Activity Monitor is not something that users would want in full screen. Users would rather want it on the side while they are focused on the actual program whose CPU/Memory/Disk/Network activity they want to keep an eye on.
The section of human interface guidelines on design for full screen mode has this guidance:
Perhaps, the utility aspect of this is prioritized so the menu bar isn’t hidden for people that wish to be immersed in the activity display.