I'll just note that I don't see why the all-thread has to be
down the center if it's a continuous piece, you still get the end-to-end strength, our spines don't run down the center of our torsos.

When I ordered my Go Devil 38 I asked for the av-bay bulkhead pieces to not be pre-drilled, and drilled my own off-center hole. So I have a single 1/4"-20 rod running end-to-end (two forged eye-bolts with a coupler nut to join them), but the whole deal is offset through the av-bay to ensure that my rather large LiPo would fit (was also necessary for the charge well to clear the lower eyebolt which needs to rotate to screw the lids together). Granted on this lightweight rocket I could have gone with something less than 1/4" rod, but I wanted to couple a pair of eyebolts and the smallest forged eyebolts any of my local HW stores carried was 1/4" so that's what I used.
Anyway, getting back to the OP, there's certainly always the risk of messing with the antenna by having any other metal nearby, but the farther away and less-parallel any other metal is the better off it should be. It's more complicated (resonances and the like), but one can basically think of the metal as creating a 'shadow' for the antenna, so if you had the antenna right against the rod it would have a big shadow cast on one side of it, but the farther away the smaller the shadow should be. Two rods would create two shadows, and gets nastier when it comes to the resonances. I've flown both Eggtimer TRS's and MW RTx transmitters in 3" av-bays using a central all-thread rod in a HED rocket (so there's no place in the nose for a tracker, just the av-bay), but I've been able to keep the antenna an inch or so away from the rod, and haven't had a noticeable issue with reception in any of my flights. YMMV of course.