The salient distinction is that mining influence in Bitcoin has nothing to do with how many tokens you own. And mining expenditure is ongoing whereas staked masternodes are only deposited once.
We've already explained this before. I am not going to explain again why staking is not secure.
Mining influence in DASH has nothing to do with how many tokens you own either. Miners govern the coin in exactly the same way as other PoW coins - they can fork a chain at any time.
Masternodes/DGBB create an additional governance layer, providing, right now, funds for all sorts of beneficial projects directly from the blockchain.
Nobody is saying it's perfect, finished or a replacement for mining. It is, however, a good working solution to the governance issues and decision making malaise that stunt the growth of other coins.