If it was my Honda I would run a high Ester oil. You have changed out the PVC valve and that would my first move too. I would run Redline Performance oil (Not the Professional oil non Ester oil) for only 6,000 miles and Fram Ultra because you will be cleaning some sludge out I would be willing to bet. If that did not fix it my next move would be to run Valvoline Restore 10-30. This oil is made for Cummins engine to free sticky rings and would be an directly made for this job, it is a little harder to find and cost more the the Redline oil. Price is moot point here since you dropping big money every 1000 miles anyway. You need to fix this problem, because you car has an oil addiction. I would add full throttle 5 mph to 70 mph on on ramps on a semi regular basis to add pressure behind the rings. What ever oil you try, remember to order extra to keep it up to the full line on what your car normally eats.
Non Turbo oil
www.redlineoil.com
Turbo oil, Lower Calcium
Here is a thread on the Valvoline Restore with a Honda. If I was him, I would of ran Redline after his Restore dump and only then call it a finished test. An extreme problem sometimes dictates an extreme over the top action.
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Non Turbo oil

5W30 Motor Oil
Most popular oil for modern road cars and light trucks, as specified for most late-model BMW, General Motors, and Nissan vehicles
Turbo oil, Lower Calcium

Here is a thread on the Valvoline Restore with a Honda. If I was him, I would of ran Redline after his Restore dump and only then call it a finished test. An extreme problem sometimes dictates an extreme over the top action.
Valvoline Premium Blue Restore 10W-30 in a Honda 2.4L
My fiancée's 2007 Honda Accord 2.4 has an oil consumption problem. When I met her 4 years ago the car had 90K miles and consumed approx 1 qt every 4K miles. Now, with 139k, it consumes 1 qt every 2K. I have tried BG EPR, HM oils and higher viscosity oil without consistent success. I have...
bobistheoilguy.com
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