The last line is speculative. There are many factors contributing to price changes so I don't think a blanket statement can be made. I would instead say that it could increase the price of Steem, or from another perspective, reduce the decline in the price of Steem.

IMO, it depends whether the rewards (payouts) would otherwise contribute successfully to increasing the value of Steem, or if they are more often being extracted by self-voting, vote-trading, vote buying, etc. which enriches individuals at the expense of Steem stakeholders/investors.

I'm happy to, and do, vote for payouts which I see as contributing to increasing the value of Steem. The rest I consider to be somewhere between wasteful and scams which are actively harmful to Steem, and therefore often prefer to see more burning.