This is a finicky question.
On the one hand, it says that the pilot is equipped with a Pulse Pistol; it makes no mention of anything else.
On the other hand, it seems reasonable that hard-wired equipment would still be equipped. Evidence for this, however, does not seem to appear.
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It seems that the rules support that the pilot does not have anything equipped after being ejected. It is unfortunate, but that is how it seems to be.