This may not help, but I've been listening to this with some interest as a tinkerer...
I'm 100% LED, from headlights, to vanity mirrors and have never experienced this issue. How did y'all remediate hyperflash? I know there's a bunch of ways, but I did the shunt filing (narrowing) inside the actual flasher controller. I preferred this option since it "physically" increase current load across the actual component that registers it. No hyper flash, no remote issues. I only mention this because I wonder if the remote function is disabled or enabled by a current reading in the light system. (Maybe the signal for a remote inhibit for an open door is based on that load or lack thereof) If so, the flasher shunt may be what produces that signal. I'm no electronics whiz by any means, so if this sound dumb to y'all, it probably is, lol.