I can confirm this in Maverick, attaching relevant info.
** Changed in: software-center (Ubuntu)
Importance: Undecided => Medium
** Changed in: software-center (Ubuntu)
Status: New => Confirmed
** Tags added: apport-collected
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[maverick] Software Center search function broken
https
** Attachment added: "Dependencies.txt"
http://launchpadlibrarian.net/50710391/Dependencies.txt
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[maverick] Software Center never finishes searching
https://bugs.launchpad.net/bugs/597065
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