No they are not closing. This is what it says on Camelot's website:
Contrary to rumours that we are closing, we intend to be very much open and offering a fantastic day out for many years to come!
The development plans recently announced by our owners, Prime Resorts, discussed the long term future of the site. However, whatever route is adopted, this is a long way off happening. As a result, it is very much business as usual, and we will still be here with all your favourite shows and attractions at fantastic prices for a good number of seasons yet.