Seems like I talked about this somewhere else...
QM is the electronically-traded, mini light-sweet futures contract. CL is the full-size, pit-traded, light-sweet futures contract. It's not an index. NYMEX charges $55/month for pit quotes, and probably a lot for the initial connection. IB doesn't trade any pit-traded contracts, and so probably has no reason to pay the initial connection fee to deliver these quotes.
If you're trying to arb CL against QM, forget it. There's already a MM (at least one) that does exactly that. Neither contract is all that active, and pit quotes will show you exactly what the pit wants to show you to make you do the wrong thing.
If you really, really want to see those quotes, you can get them from myTrack for $55 exchange fee (plus whatever plan you sign up for). If you want, you can get delayed QM and CL quotes at myTrack, free of exchange fees, to help you see what may or may not be there.
COIL is the IPE Brent Crude contract. Brent Crude is not the same thing as light-sweet.