I never had a problem passing depth perception tests until I got into the AF...they sent me to a former Naval Flight Surgeon, he said no problem...notified the AF, they said I still had to pass a test. At the time the AF had an alternate test with a hand held device, passed it at the time, I think over the years I had it memorized.
Did some investigation and found out there were a number of one eyed airline pilots....additionally the standard depth perception test is an optical illusion, right off the bat approximately 50% of the people will not be able to pass it.
Never had a problem landing the 38 in weather or at night. If you do a lot of Cat3's, don't have to see anything.
If you have any problem landing...the IPs will take care of it.
Go for it.