Types that have Fe in their Super-id block - and, therefore, Ti in their Ego block - are also Fe-valuing. So, all Alphas and Betas are supposed to value Fe. (I'm no Socionics expert, though, but if I'm mistaken on this, there's something fundamentally wrong with every Socionics resource I've found on the net...)
But the question is, what does it actually
mean to "value" a function in Socionics? What's the definition? I believe "valued" in Socionics means something different than "valued" in everyday sense, and that's why it is so confusing. You may consciously "value" a function and the aspects stereotypically associated with it, but it may have nothing to do with the way your psyche is structured. For example, I'm equally confused about Te: I believe I'm an Alpha type, but I feel I greatly "value Te" and things related to it. Actually, the same goes for Fi, too, but only Fi-creatives. Leading Fi types are just... people I end up butting heads with.
I know my reply didn't really help you, but I'm fascinated by your typing troubles and am very curious about which type you end up being, because I have huge difficulties telling LSI and SLI types apart. The same goes for LII and ILI as well. These types are supposed to have entirely different functions, but they seem so very similar on the surface!