Personally if I had E available and the fuel headroom, I'd run an E tune.
That being said, make sure you are logging for the specific fuel you plan to run with each tune.
I have both a 93 and E20 tune.
I also plan to get a 91 tune in case i drive somewhere lacking 93.
3rd gear seems to be the most taxing fuel wise so I'd want as much of third in the run as possible, especially for an E tune.
If you have corn in the tank most of the time, you're leaving some power on the table not having a specific tune.
Consider that in the time it takes to fill your tank, you can reflash for whatever situation you are presented if you have the right tunes on your device. I keep my x4 and 2bar in the car in case I can't get e for some reason or I have a failure and need to return the car to stock before the tow truck shows up.
Since you normally have E in the car, I'd get that E tune, datalog it in different conditions, especially when its cold, and get it dialed in. You don't have to be perfect on your blend, the trims will handle minor inconsistencies.