In reply to paul_in_cumbria:
Liability insurance is the bit which all BMC members have and this allows for climbing at crags like Cheddar (and I think is part of some other access agreements too), this bit seems to be staying based on what has been posted. This covers legal costs and compensation if you cause someone to be injured or damage their property through your actions while climbing, if you take a massive lob and break both your legs this will not help you at all.
Personal accident insurance is only provided for individual members and club upgrade members (i.e. NOT people who are club members and haven't deliberately upgraded). This is intended to help you if you crock yourself (I don't know the limits and policy terms so you would need to look up the specifics).
I can't imagine the BMC removing the 3rd Party cover as that would likely lead to financial ruin as many members are members to get access to that.