These issues of a couple feet difference have real world ramifications.
Every six months I take a checkride that includes a circling approach. We often use the LOC to 27 in MEM to circle to 18R. Our OpSpecs require a circle to be done at 1,000' (or published if higher). Our altitude preselecter goes in 100' increments, so you have to round up...never down.
So what do you use? The TDZE of 27 (the approach your coming in on) or the airport elevation. Does it matter?
Runway 27 TDZE is 292'. So that would give a 1,300' altitude to go in the preselecter to circle. BUT, your circling the airport, not the runway. The Airport Elevation is listed as 341'. That would give you an altitude of 1,400' to go in the preselecter.
If you circle at 1,300' you bust your circling mins. You violate OpSpecs and have some retraining in front of you.
I don't mind using THRE in lieu of TDZE, I just wonder if there's official guidance on the subject.