To be honest the planet does not care how you compute it.
Quick google-fu said private jets are about 1,8% of the total airtravel pollution. If you want whats good for the earth, focus on the half empty and empty commercial flights that big airlines do because they want to keep their hangar places. That makes much bigger part of the overall pollution.
I say: let the rich fly, just make it so they pay enough taxes for it compencate for it.
Just to walk you trough my reasoning.
Change needs money. That 1,8% can generates lots of money that can be used to fight pollution in other ways. We could easily rise the taxation and that 1,8% could turn in to 1,5% or something.
If we start to ban private jets conpletelly by changings laws, it will be long process and even if one country bans it there will always be poor countries or tax heavens that will find a way to enable it. It will turn in to a game of aviation wack-a-mole and the gran price of that work will be 1,8% reduce in emission.
On the other hand we could make bigger impact from commercial side while not losing tax revenue as much. Its hard to get real numbers but its likely ghost flights alone are close to same pollution as private jets, not to mention that average commercial flights has only 80% of the seats filled.
So my thinking in short is that any impact with banning private jets is dwarfed by anything done in the commercial side.
And im not saying private jets are good. Im against those. People just need to understand that they are very minor part of the aviation pollution.