133 EII vs 23 IEI, i'd say it's pretty much settled.
My self-typing has been ISTP in MBTI for many years. What is the best fitting socionics counterpart depends on whose school you subscribe to. Gulenko says SLE, in many other descriptions I relate more to SLI(-Te). Your school says IEI but then again it says IEI for pretty much everyone so it's not very interesting.
I don't know why my self-typing is relevant to the thread though.