Same here - thats why I can't be bothered carrying multiple basses to gigs, and I certainly don't have time to change between them. I also play the lightest as at least 3 of my 5 strings are my lighter than my 4 string jazz (the EHB, the Maruszczyk and the 1605).
I never saw the complication of muting on a 5 string, any more than muting on a 4 string, but obviously we are different people and as I say 5 strings are my preferred thing. The only think I find 4 string better for is slap, and I don't really slap (because I neither like it or am any good at it - those two are probably related in one way or another).
I just have the two 4 strings - a Jazz, because I often feel I should have one, and a SR1000, because it means something, so I wouldn't get rid of it.
If I was playing my own music and had roadies to bring me basses whenever, maybe I would use them live, but im not, I am in a cover group where our choice of songs is 'fluid' so happy with one bass that does everything.
But understand what you mean and what you want, and that is the great thing that we all have our own ways, so what works for you is good for you.
Apart from the less strings, we are the same then