I don't think that would even be possible due to how the derivation method of the wallet is chosen. Some might have incompatible seeds, Electrum for example uses BIP39, while Jaxx.io uses m/44'/0'/0'/0/0 (?),
( Don't quote me on that but i believe it is different for Exodus aswell.)

Even if it was possible, aslong as your computer is secured, there shouldn't really be an issue, other then that you will need to  take care of two spots/wallets, instead of just one wallet. Depending on your situation it may or may not decrease security.

If 1 wallet gets hacked/cracked the other one will obviously also be emptied.