[Unfortunately for Spock, he was subject to Barbossa's irritation and annoyance from just having been brought in Luceti. Finding his possessions here would definitely alleviate some of that.

Though the pirate captain was already well on his way to calming down. He joined Spock in their mutual search for his hat; it shouldn't be long until either of them find the item, for it would stand out particularly well.]

I think me being an acquaintance of Jack's should have made that fairly obvious, Mr. Spock. Are ye sayin' that that bugger never mentioned me once?

[Of course, he would immediately suspect that his name would have come up whenever the Black Pearl was involved, and specifically how Jack took it from him. Or rather, reclaimed possession of it.]