I would. You need a new job, it’s competitive out there. I assume since you are a furlough you might not be super competitive for a legacy job so take every advantage you have, including the furlough button. Heck, check the Asian or anything “exotic” button too, I’m sure somewhere in your background there is a unique box.

If anyone asks you if you have been furloughed I’m sure a WARN letter from a failing company who has thrice furloughed recently will satisfy their concern.