Yes, I agree with what Annie has said. It seems to me that morally you should be furloughed. If you are a member of the NUT or other trades union I suggest you speak to them about it. The more pressure that is put on Councils and the Government over this the more likely it is that something will be done about it.
Also get in touch with ACAS. They are doing a lot of mediating with situations like this and they may also be able to help.