The key difference
USDC on Ethereum and USDC on Base are balances on different networks. Even when the asset is issued by the same issuer, the wallet balance belongs to a specific chain.

What changes when the same stablecoin is held on Ethereum compared with Base.
USDC on Ethereum and USDC on Base are balances on different networks. Even when the asset is issued by the same issuer, the wallet balance belongs to a specific chain.
Applications can support one network and not another, so moving USDC can be necessary before using a destination application. Confirm the supported network before bridging.
Compare the live route's destination amount and fees. Base may offer different transaction economics from Ethereum, but the best route depends on current conditions.
Always select the correct network in your wallet and application. A USDC balance on Ethereum is not automatically spendable by a Base-only application.