@ arut
If a Flying Club charges an annual fee for membership and then you get charged for home landings on top of this, then you kind of have to wonder what you're actually getting for your annual fee. Admin and insurance can be covered from their normal operating income (instruction, hangarage, parking, visitor's landing fees, engineering).
I view it like a golf club. My golf club charges me an annual subscription for membership. For that, I can use the course as much as I like. If they started asking me to pay every time I played, then I'd be wondering what on earth I was getting for the subscription.
The key to getting around this is to go a place where the club/flying school owns the airfield. If you go somewhere where the organisation is one of many tenants at the airfield, and you still have to pay for landings, then I don't see how they can justify charging for any sort of 'membership'. All you then get for that membership fee is the right to spend more money.