You don't have to use a bridge yourself to end up holding a bridged token.

If a swap on X Layer pays out USDC.e, you've received a bridged asset without moving your wallet to another network. Circle lists a separate native USDC contract there and explicitly says USDC.e is not issued or backed by Circle.

That doesn't mean bridged USDC has no collateral. Circle describes the general model as a third-party token backed by USDC locked in a smart contract on another blockchain. The bridge remains part of the arrangement while you hold the token.

For proceeds waiting between trades, the distinction survives the sale. You've sold the original coin, but choosing the bridged token also means relying on that bridge. Circle's mainnet contract directory lets you establish whether the output is its native USDC; staying on the same network doesn't settle that question.

Sources:
https://developers.circle.com/stablecoins/usdc-contract-addresses
https://www.circle.com/bridged-usdc