If the share price stayed high it would be very hard to delist them as they would have had lots of value and any new shares created would cost a lot of money to buy. There will also be lots of big investors in the firm who would have needed them to stay listed. What we are seeing now is the big investors changing and large amounts of shares being dumped by big city firms.
If you are concerned about them remaining listed then ask for the current list of shareholders. They should give you the list by law. Most funds will want to hold only listed firms but others may be happy to take it off the market. Small shareholders (i.e. <5%) will in effect have no say.
Mr Hunt does seem to have lost it. Telling any publication that you may delist is like doing a ratner. (en.wikipedia.org/wiki/Doing_a_Ratner
) He must know that people google the name of firms they invest in and would find out. The only other option is that it is a cunning plan to trash the share price so that he can buy them all up!