The above posts from RGBKey and neurotypical seem to be conflicting. Am I understanding correctly that if I send 0.1 BTC from Address1 to Address2 the following will be true?

Current
Address1= 0.2 BTC and 0.2 BCH
Address2= 0.0 BTC and 0.0 BCH

Post transfer
Address1= 0.1 BTC and 0.2 BCH
Address2= 0.1 BTC and 0.0 BCH