I'm not 100% certain on this.
61.56(d) allows a "pilot proficiency check for a certificate, rating, or operating privilege" to count as a BFR.
The question is what is exactly is an operating privilege? I think you're good, but you might want to call the FSDO and ask them. You don't want to go to an airline interview and not have a good answer if that comes up. "Well, I always assumed..."