RMerlin, I understand that you can't look at any problems that you cannot reproduce but I am, too, getting kicked out of the GUI on my AC87u and AC68u with 378.56 when accessing with CUSTOM names to the routers/ap where accessing via their respective IP (and also the default router.asus.com) is fine. This problem is also happening with the newest Asus release for both my AC87u (9177) and AC68u (9135).
And I had tested on my AC68u with emergency firmware restore utility and the problem is still there, and the nvram fix did not fix the problem either.
Currently I am falling back to 378.55 on AC68u (which acting only as AP) and the gui is working fine there with CUSTOM hostname. But my AC87 which stays on 378.56 will boot me randomly off GUI when accessing via CUSTOM hostname. I am also using the default LAN port of 80.
The custom hostname is via lines in hosts.add.