Stakeholders are paying for inflation every single block no matter what they do, because they are the ones being inflated. If you show up looking for rewards with low or no stake, inflation doesn't cost you anything. And that's perfectly okay, the system is designed to potentially reward you, and maybe you will get some rewards, but you're not entitled to them nor entitled to much of a say over who gets them.

Stakeholders can't avoid being inflated (well, at least not without a hard fork), but they can and do have a say (in proportion to their stake, i.e. contribution to the cost of inflation) over what that inflation is used for.