The coach licences are quite clear (these are on credit card sized photo cards these days). I'm a level 2 endurance coach and my licence says"this person has had the necessary police records check and is insured to coach endurance plus...."

I also hold a summer ML qualification but given that is nearly 30 years old, and I haven't kept a log book, could I take groups in the hills?

As Richard pointed out the UKA licences (not EA) do include professional coaching.