If coins are sent to an address in the new chain, they will remain in that chain.
Ha, nice try. Delusional, but nice try.
The address is valid in both sides of the fork. So let's say that somehow you trick me into spending my bitcoins that I received prior to the fork and pay using them to an address in your inflatacoin fork. But then you can then use that exact same address on the Bitcoin blockchain side as well, broadcast my transaction there and receive the full value of the transaction there as well.
Participating on your side would be seen as the way to watch your bitcoins disappear.
Because there is no way to ensure that all transactions from the Bitcoin blockchain get into your inflatacoin fork, then the only time your chain becomes interesting to me is after my transaction confirms on the Bitcoin blockchain but where I've composed and sent a double spend of the UTXO used to your side of the fork, and then pay you with those funds which are now worthless on the Bitcoin blockchain. That's a win / win for me!