Due to providing ROI on rewarding flags, not everyone needs to claim their rewards and you will "reallocate" all or most of the rewards that "should stay" in the reward pool.

I am also interested in the possibility of a downvote bot that burns rewards as another tool provided for stakeholders interested in reducing inflation.

I am not entirely sure what you mean by burning rewards with the bot. Burning comments rewards of the bot by default? Most people will not burn their rewards. That was true back then when people sometimes used the internal promoting feature that does not work since there are bid bots that can offer more exposure and return on investment.

In this case people could burn a portion of their rewards if they wanted to use the valuable votes for exposure only instead of maximising their profit.