I also stopped counting long ago

But I agree with the # of trips.
If you want to go to the extreme of each daily visit,,, you could carry that to an even further extreme: if you went in the morning, left to go to a resort for lunch, then back in the evening- and count that as 2 "visits"
I think when people ask you how many times you have been to Disney, what they are asking is how many trips you had, not how many days you went.