In another discussion, this came up, so I'm copying the gist of my comment over here:
It seems like the main goal is to get them out of the Add Trait/Interest area.
For Traits, it seems like this ignores the issue that while you don't wish to add them because they are not-applicable to your character's description, you still might need to set preferences on them.
So for Traits, perhaps instead of the "Dismiss" term, a "Mark Not Applicable" term should be used instead. This would move it down to the applied section, indicate Not Applicable
or N/A
as if that had been a trait category that had been selected for that Trait. Then preferences can be set. Finally, if it is N/A, and no preferences were set, then in viewing mode, it might be hidden from view, perhaps.
For Interests, there has been talk about leaving an interest un-selected as a sort of "Maybe", given that "Will Try" is not quite the same thing as "Maybe". Due to this, there are things that I neither select as "Will Try" or "No". At least for me, if there is a "Maybe" category, there would be no reason to leave any Interest un-selected. And it need not be a category that is shown in view mode. In other words, treat all un-selected Interests as "Maybe" by default, and let search work on them that way. Explicitly selecting "Maybe" is just a way to get it out of the Un-selected pile in Edit mode. In Edit mode, you would have a region of "Maybe" Interests, and you would be able to switch them around just like with Interests in other categories. Of course, I'm not opposed to showing the Maybe Category, and generally prefer all things to be explicitly shown. (Which includes the Giving/Taking indicators that currently get hidden and create a HUGE ambiguity with N/A!!) But then does the Displayed Maybe category include all the traits that were un-selected still, or just the explicitly selected Maybe traits. Not showing it is effectively the way it is working now, and it makes the display of a profile that much more cleaner, if that is really that big of a deal.