No, this isn't what 3 of Swords is all about. Actually, I seldom have found this meaning come up in actual readings I've done. Where I usually begin with this card is the idea of the core truths being communicated. Sometimes those truths are revealed through words spoken that previously had not be expressed, sometimes through the pain someone or something caused in our life that we now have to deal with. Sometimes these truths are that someone has betrayed you or hurt you in some way, but more often it is just that by getting to the core of a matter we are no longer protected by all our protective layers of denial, deflections, defense mechanisms, etc. Instead our openness leaves us fully vulnerable.
If you look at it as a progression from the 2 of Swords, you see that the peace of the 2 was maintained by not choosing a course, by holding things at bay, detente, keeping the peace but without movement. Often the image of the 2 includes a blindfolded figure. Eventually to go forward you have to choose which way you're going to go, and that will make you have to face something, and leave something behind. After the 3 comes he 4, our chance to regroup, heal from our wounds, and consider what we have learned so far.
You might enjoy perusing the 3 of Swords section in the Table of Contents at the top of the Using Cards forum. There are several threads there on this card and the variety of ways people interpret it. If you look at any card with just one very specific manifestation of its meaning you may get frustrated in your readings.