I don't think so. When all those btc are mined, you can't assume that Miners that are solving heavy algorithms will be willing to work with no sure reward? Working for transaction fees? The transaction fee could affect the user for they have to pay for it mandatory. Where in other altcoins you don't have to.

If there are less miners, the transaction will be as slow as you can imagine. Also this will affect the users, they might switch to other alternative coins for fast transactions. So in this scenario, less demand, low price.