Just tried mine, sunny day, not foggy, but putting on the foglights doesn’t have any effect on my camera view. The conditions you describe sound like exactly those when a camera would be desirable, so I can’t see this being how it should be. If it’s any help, my camera certainly doesn’t go blank when another car is behind with headlights on. The “flare” from that must be loads worse.
I’d say this is definitely not a case of “They all do that sir”!