Two things of note... As far as I know, the interviewers don't know if you have the type or not - other than looking at your resume. But it's not like they're comparing the typed vs. the non-typed. But it does help you get the interview.
The other thing is the rumor/speculation that the May DB is the 14th. So if you interview in early June, you have a good chance of being on the June DB, whereas if you delay it until later in June, you may get put in the July DB.
Just a thought.