Earl's Court Demolition: A Case for Listing?

The famous exhibition centre and venue for some of the 2012 Olympic events, Earl's Court Exhibition Centre, is going to be demolished.  A campaign group is arguing agains the move and wants the building listed.
http://www.bbc.co.uk/news/uk-england-london-23175255

Is there a case for listing here?  English Heritage's criteria for listing are:

Grade I buildings are of exceptional interest, sometimes considered to be internationally important; only 2.5% of listed buildings are Grade I

Grade II* buildings are particularly important buildings of more than special interest; 5.5% of listed buildings are Grade II*

Grade II buildings are nationally important and of special interest; 92% of all listed buildings are in this class and it is the most likely grade of listing for a home owner.