I'm only discussing this because it's come up the consensus list.
There are problems with both.
If I am an SLE, I conflict with Minde, who - quite frankly - I don't conflict with. In fact, I find her character rather appealing. Also, I get on surprisingly well with my best friends (LII and IEE) for an SLE.
If I am an LSI, it means I conflict with not only my best friend, but also my mother and Slacker Mom, who herself admitted that she could see my as a Ne type, or at least someone who was Ne valuing. Even if I'm not good with Ne, does this really show that it is my PoLR or even my third function?
I'm attracted to ScarlettLux much more than I am to any of the IEIs on here (maybe I've just got high standards), and I'm sure she is an EIE, and to be honest, I like the use of Fe when it's used well. I'm certainly not repulsed to the extent that niffweed is by her video. I think it's used well by her. I HATE some uses of it, such as in the way Alphas use it, or those people at a party to make you "SMIIIIIIIIIIIIIIIIIIILE!!!" who try to use it and fail dismally.