[Pyro7480]

So the name of Mary will "cure evils" when Christ's name won't?

Where does Richard of St. Laurence say that Christ's name won't do something that Mary's name will?

I'm thinking the former, as someone with a "determination to repent" obviously loves God.

I think the statement is an "if, then" statement of sorts. If the person is a sinner, and if that person invokes the name of Mary with the determination to repent, then the devil must flee from that sinner.

[armydoc]

Where does Richard of St. Laurence say that Christ's name won't do something that Mary's name will?

Where he says, in the third paragraph, "because it (Mary's name) alone will suffice to cure them of all their evils". It seems to me that "alone" is quite intentional.