I didn't know the protocol tried to use every output in around 16 transactions. I know about the 16 ring size, but I didn't know it also tried to use each output 16 times. If so, that is very smart and interesting. You learn something new every day!
The idea of sweeping them and then churning the merged output is also smart.
Oh well I guess we just have to wait for FCMP++ where theoretically all this will be no longer relevant :)
I remember watching the breaking monero series, when it was mentioned that (paraphrasing) "Rings are what give security to Monero but I really hope we get rid of them"... That time is finally getting closer :)
Yes you are right, it was too early in the morning for me to process properly...
Statistically you should see each output used an average of 16 times, that makes sense.
Cheers!