No those two seeds are completely superfluous with regards to nutrition, if you must have them for the taste, that's a different story but they're not health-promoting in significant amounts. Yes they can definitely oxidize and even if they aren't oxidized they will still convert to arachidonic acid and pro-inflammatory eicosanoids and reduce the levels of DHA in your cell membranes. Bad news. I advise to not go overboard.
Stabbing conventional wisdom in its face.
Anyone who wants to talk nutrition should PM me!