I'd have to discount wet leases, even if they operated in an airline's full livery...those aircraft are never part of the lessees fleet operationally. When an aircraft is wet-leased to another airline, the exact type is rarely specified and is largely immaterial to the lessee.
Wet-leased aircraft are crewed and maintained by the lessor, insured by the lessor and the lessor is responsible for operations and dispatch.
A couple of examples;
Hajj flights are tendered by the "brand" airline, Saudia, Garuda etc. You will see them in the back pages of Flight International
. The tenders specify the dates of operation, the number of passengers to be carried and the routes. The only specification about the aircraft will be something like..."a widebody, less than 5 years old"
So if an A330 or MD-11 shows up on a Hajj service, it isn't because that airline specifically wanted an A330 or MD-11.
British Airways wet-lease ERJ-145 aircraft from British Regional on some European and Domestic flights, crewed and maintained by British Regional, but with full British Airways branding.
So do British Airways operate the ERJ-145? No!
So when the likes of Saudia, Iberia, Air France, Kuwait Airways, Garuda and LAM wet lease an L1011/DC-10, did they operate it? No!
I'd list the airlines that operated
both the DC-10 and the TriStar as;
American Trans Air