Perform a dry then a wet compression test. People mention doing "piston soaks" frequently.
Make sure the MAF sensor is clean. Errant air data could cause the system to add more fuel which washes oil off cylinder walls.
Can you test the upstream O2 sensors' efficiency? Again, bad data can result in added fuel leading to washed cylinders.
There are truly cheap oils out there. Bad ones don't have the same "staying power".
Also, if your vehicle was run on conventional oil and was switched to synthetics, you may see an uptick in oil use.
Also, people seem always to suggest trying a "thicker" grade of oil.
Valve stem seals are key in keeping oil out of cylinders. If they go, oil consumption rises.