Is that right?
Yes and no.
There is a possible problem of the "replay attack".
This must be fixed from the node of the minority chain. (so you have to wait a new Core version that fixes this, or from someone else)
Anyway, yes, if you really hold your bitcoin, so you own your private keys, you will have both coins, the problem is just in the transaction to move the coins in the minority chain.
You will have to wait for a Core version with the fix, but you will be on both chains.
If there will be a Core version with this kind of fix, I'll add it here on the guide.
Currently this guide can just help you to be sure of being on both chains.