Given that, is there a problem with using a jet in this way?
I have no reason to doubt that the new CEO deserves his compensation package but we don't deserve all those emissions in our environment. And I am sure many employees deserve a few extra dollars per hour for their hard work!
Also, you don't really get to choose what you fuel your private plane up with. Most places only provide plain Jet-A1. An airline has the regularity and scale to organise this themselves, a private operation surely doesn't.
And most jets aren't certified for 100% biofuel.
It's all a scam. A system by which rich people swap money back and forth with other rich people to absolve themselves of the climate sin they claim the rest of us are burdened with.