So, I have more than one (dozen, but not many more). However, with two exceptions, I don't have more than 1 uke in any "slot". So one low G tenor, one re-entrant tenor, one six string, one eight string, one semi-solid body electric, one bass, etc.
The two exceptions are not completely open. I have a few laminate ukes which I leave out within an arm's reach of the places I spend time - office, living room, bedroom. Traditionally, these are older, less expensive ukes that I started on and still like. The only other exception was a second low G tenor, which I got a better uke, but it turns out that my father-in-law loves ukes and did not have one, so he has it on permanent loan.
And I have been a devoted player for about 9 years, so this did not happen over night.
There - am I excused now?
(And if I were to be totally, absolutely honest, I would have to count the Enya carbon fiber that I just ordered, but that's for a specific rafting trip, and it was cheap. <g>)