Well, there's no economy factor to this condition. You're not spending too much in make up oil. I'd still try the Auto-Rx solution to attempt to relieve this condition. There can be ancillary benefits to it if there are coked ring packs.
While we're here, let's sweep out all the corners in terms of exploration.
Is the consumption flat or progressive? That is, does it consume 1/3 quart per 1000 miles. If so, then you're at 1 quart consumption at the time you're going to change it anyway. No waste in resources. If it's zero consumption up to a certain mileage, then this points to some fatigue factor and may be caused by fuel dilution.
This brings us to seeing if you're willing to do a UOA to get a little more informed insight into what conditions are present at the time of the oil change. Given your short or infrequent driving event (6k/year) and your reference to carbon/sooty plugs would suggest that this is probably a given.
I would suggest that you use a decent fuel injector cleaner like Amsoil PI prophylactically (maybe every other tank for two treatments if you've never used an agent like this before) and see what effects it has on consumption. You may have a relatively high amount of fuel in your oil that's causing this.
Keep in mind that there are plenty of tools to pull out in corrective action (UOA, injector cleaners, etc.) ...but you will be up against the economics of just doing your oil changes at 2k 3 times a year. Much depends on how "right" you want your engine and how long you intend to keep it. There's also the possibility that there is no remedy for your type of service. This is a very low level of usage.