I haven't caught any typos in any of my apps yet. And, whether or not they are there, hopefully I will never find out about them and I can think that it was my low GPA that kept me out of law school
I will say that one or two typos should be permissible in an otherwise good application. I mean, yeah, a lawyer's job is very detail-oriented, but it's not like the lawyers many of us are trying to be don't have teams of people who's job it is to actually proofread documents for them.
Also, I sent my application to Vanderbilt about 10 days too early. And they have not requested my report yet. I think I'm suffering their wrath.