Pretty intensive towing operations involving some long and complex routes would be needed rationalise demand for contact gates. We get a similar dilemma at airports with mixes of domestic//international arrivals/departures .... most are happy to shove the inconvenience towards passengers and buses where a domestic inbound becomes an international departure, rather than take on the significant costs of towing between gates or between remote stands and gates.
Neither airports nor airlines would welcome towing where it's not an operational necessity.
I was seated next to a somewhat peed-off official from a ministry not directly involved with QR or HIA. I think he got a very special bus to the aircraft, but nonetheless he'd clearly got a bee in his bonnet about the airport expansion. In our conversation he expressed concern about the billions being invested in airline and airport with a very unclear return on that investment and the benefits that might accrue to Qatar. It seems unlikely that's a unique view.