Prices are the result of supply vs demand on the exchange market; total supply is a secondary factor.
Multipool miners will generally sell for BTC/fiat immediately, creating lots of supply and thus a consistent downward pressure on prices.
General miners will be more likely to hold or use instead, creating less sell pressure.
By making Doge less profitable to the multipools, they are less likely to mine it, and even if they continue they will get less Doge per block. And that means less supply in the exchanges, which will help the price.