I'll admit that the 35% was too big, but 10-15% is still pretty good out of 300+ teams.
I agree with you. My guess is that their odds are really somewhere between 5% and 10%. One thing you have to keep in mind in basketball is that there is more luck involved. You can have a thoroughly dominant basketball team go cold from the field on one night in the NCAA tournament and they're sitting at home watching someone else hold the National Championship trophy in the air.