I have not tested quark.
What’s important is not the mining algorithm, but whether the JSON-RPC API is the same as Bitcoin. If it is, then it will work with the Full Node Multi Coin adapter.
The commands that are used by the plugin are: getinfo or getwalletinfo, getnewaddress, sendtoaddress, gettransaction, getblock, listtransactions. If these work the same as in Bitcoin, you’re good to go.
with regards