Having a Regulator, for story reasons, is very messed up, tho. So I am glad it's not a glam piece. As much as I am glad Living Memory remains turned off.
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I bet we'll be given a regulator headpiece at the end of the 7.3 MSQ. For your sake, they'll call it "Deactivated Regulator" or something to that effect, so you don't have to worry about doing anything non-WoL-approved.
We get narratively incongruous glamour all the time. We have at least three different ways to dress up as an imperial Garlean soldier (the Mended Imperial robe and helmet given to you in the ARR MSQ, the #55 set given to you in the Stormblood MSQ, and the Imperial sets dropped by the Tower of Babil). We can wear the ancients' robes, even though the WoL personally wiped out the last of the ancients. The gear sets dropped by The Heroes' Gauntlet and Ktisis Hyperboreia are conspicuously Ascian-inspired, especially the masks. The fending/maiming sets dropped by Vanguard allow you to look like one of the mechanical soldiers that participated in a massacre in Tuliyollal.