The thing that finally clicked was that a bridge transaction is not one action with a little network choice attached. It is a handoff between two networks, and the destination is part of the transaction itself. A rhino bridge moves assets from one network to another, so the asset arriving on the far side matters just as much as the asset leaving the first wallet.
That sounds obvious until the first attempt: choose a token, connect a wallet, approve the spending request, and then notice that the destination network is still set to the one used last time. The transaction can look perfectly normal. The amount is right, the wallet is connected, and the confirmation window gives no emotional warning that the important choice was made several clicks earlier.
The easy mistake is trusting the interface memory
After doing a bridge once or twice, it is tempting to operate from muscle memory. Select the source chain, select the token, enter the amount, confirm. The problem is that the source and destination are easy to reverse mentally, especially when the same token exists on both networks.
The safer habit is to read the route backwards before signing: “This wallet, on this source network, is sending this asset; that wallet, on this destination network, should receive it.” If any part of that sentence is unclear, stop before the approval. Do not use the approval transaction as a way to discover what the route was.
One small check catches most of the problem: look at the destination network immediately before confirming the bridge transaction, not only when setting up the route. If the wallet asks you to switch networks, make the switch, wait for the balance and network label to update, and then recheck the route. A stale wallet display is not proof that the bridge is wrong, but it is enough reason to pause.
What the check unlocks
Once the destination is treated as a first-class choice, the rest becomes much less mysterious. The bridge is no longer “send and hope”; it is source, asset, amount, destination, and receipt. That makes it easier to notice the other details that deserve attention: whether the received asset is the version expected on that chain, whether the wallet address is correct, and whether there is enough native gas currency waiting on arrival.
For a small transfer, this takes less than a minute. I would spend that minute every time, especially after changing networks or returning to a route used weeks ago. The cost of repeating the check is fixed. The cost of discovering the wrong destination after signing is not.