Now you have quite a restricted domain, so if your database is compromised there are a lot fewer values an attacker needs to enumerate to try and crack the password.
That reasoning doesn't really sit well with me as a mathematician.
I would expect the image of MD5 on its codomain is almost a bijection (would love to be demonstrated wrong here, if anyone knows of a paper that studies this, but it seems reasonable that any good hash would have this property).
This doesn't really protect against a dictionary attack, but to guarantee a collision, an attacker would still need to try approximately 2^128 passwords for each password in the database, which is already the worst case for the attacker, so no strength is really lost.
I would expect the image of MD5 on its codomain is almost a bijection (would love to be demonstrated wrong here, if anyone knows of a paper that studies this, but it seems reasonable that any good hash would have this property).
This doesn't really protect against a dictionary attack, but to guarantee a collision, an attacker would still need to try approximately 2^128 passwords for each password in the database, which is already the worst case for the attacker, so no strength is really lost.