Some strips have local authority restrictions on them which don't make much sense to us who are more knowledgeable about aircraft types. An example may be "no microlights". Legally that includes anything classified as a microlight today. But the originally intent, 20 years ago, may have been "no unregulated screaming 2-stroke-powered hang-gliders that go nowhere fast".
Sadly, strip owners have to stick to the law, not common sense.
Some strips are the other way, only allowing microlights. This also makes no sense sometimes, when the same aircraft could be registered as either. An example, I understand, is Westonzoyland, south of Bristol.