It's dependent on whether you need to be connected to the node to get priority for transactions. The reason I posted this is because particularly people who participate in ICO's who rely on third party node like MyEtherWallet find it hard to register their transaction on the blockchain, and having parity solves this problem.
That said I haven't used Exodus myself but it looks like a nice wallet.
RE: Stop relying on third party wallets! How to set up your own Ethereum Wallet using Parity.