The reason that I think that Ti is not seen as "cold" and "rigid" as Te is because Ti is not as visible as Te is. Ti is about categorizing, labeling and conceptualizing things internally, whereas, Te is about controlling the external environment through the use of objective measures and getting things done. So there's that bias that Te is more pushy and demanding, and with Ti-dominant people, what we actually are seeing is their perceiving function which is either their Ne or Se. Perceiving functions are always going to be more tolerant, and open minded than their judging counterparts, unless a judging value is violated.
In regards to Fi and Fe, people here in the west place more value to the overall group than in the individual. So people who use Fi may be seen as selfish because they're making decisions based on individual criteria, instead of the whole group. I don't think either Fi or Fe is better than the other one, but each has its function and role to play in society.
Personally, my problem with Fi is that I usually have to try really hard in figuring out what their values are, and making sure I don't violate any of them because then I get into trouble. My problem with Fe is that sometimes expressions may come insincerely just to harmonize with the group, and that they're constantly putting on this mask just to get by with others.