My non aviation company had no private flying restrictions. But I needed to clear the activity with the various insurers. The results were interesting:
Life cover - noted
Health (BUPA) cover - noted
Accident cover - demanded an extra GBP450 per annum over the usual annual premium of GBP80
Travel policy - covered only if flying on scheduled services
So presumably the actuaries have calculated that private pilots are unlikely to die through their flying activities, but will be injured in an accident....