I think it could make sense for you. I think an SEI with good logic abilities and a higher education could see themselves as LII. LIIs are quick to point how these SEIs are not LIIs. Same with EII. Si subtype would have strong emotions that they don't display often, kind of like an EII. It's just that the ethics of SEI is more flexible. So, I could see SEI-Si identifying with LII and EII. I have often felt like an outsider trying to get into both the LII and EII club, among a few others. They'll take my money, but still won't give me a bracelet, lol.
It's not that you are or aren't LII. That isn't for me to decide. It's that I could see where you're coming from.