What part of goat is not agricultural? The only difference is that,for the moment, we have got away without EID. The reason (and I was in on the DEFRA meetings over this) is that we have less than 160,000 goats in the UK which is the trigger figure under EU law. We have AMLs to fill in, Transport Certification rules and regs etc etc - just the same as sheep.
We have compulsory double tagging just like sheep at the moment and in fact, many of the larger goat flocks are on EID anyway. If you are milking 6 thousand its the only way.
To say we are not agricultural risks lumping us with Alpacas which of course have no compulsory ID of any kind, no movement restrictions and are a big health risk to all of us at the moment because of their Bovine TB problem.