I've considered that too but afaik there's a rule in my country that you have to prove your work and education history. Omitting something isn't an issue, but to substitute that with anything else would require paperwork that I just don't have. (And my potential employers have a right to ask for said paperwork.)
It's fucked, intentionally so.
Again, not a bad idea, but I'd have to explain away 9 years for both degrees.
Edit: And as someone without any work experience whatsoever, I don't see how omitting the degrees would really help improve my CV.