Of course we feel emotion. But what defines the dominant Ti function, I believe, is our ability to detach ourselves from the emotion, and to analyze the situation to make the rational choice or take the logical course of action.
There have been many moments of great anger in me, people I wanted to just beat the shit out of and could have done so without any emotional guilt/regret/sadness, but the LOGICAL choice of course is to not act on those anger-driven impulses. By making the rational choice I have then avoided mountains of of potential legal trouble, while at the same time not altering perceptions of me by my acquaintances.
Having people view you as an emotionally unstable freak with anger and control issues is a very, very bad thing indeed.
So in my above examples, avoiding physical confrontation is not based on kindness or any sort of moral standards, but rather self preservation, in a way.
The last time I let my emotions get the better of me (getting revenge on someone) I did get "what I want," but at the same time provoked an unforeseen reaction has caused me a lot of setbacks, emotionally and financially.
Use your head to get what you need, not what you want.