That the consumption is below manufacturers definitions of excessive kinda skirts the pertinent point in the described scenario. That it seems to have fairly recently started occurring in somewhat of a rush suggests consumption could accelerate.
Audi & VW’s “excessive” (quotes because “they all do that, sir”) consumption can occur from new and stay that way. It’s sudden change that warrants concern.
Sounds like my plan is to change pcv valve (just got it on today), check oil often. If still having problems, try and clean up those oil seal rings. After that, if it gets more significant, check compression (that would require buying some new tools that I’ll really use, do least option).
Thanks sall!
If you’re not currently using a high mileage oil it might be worth a try. Although I hate to stop you from buying some new tools.
The OP can’t count on high-mileage oil to help because…
So-called high-mileage oils contain an additive to “swell” seals and gaskets in order to reduce leakage–but the OP’s car doesn’t have an oil leak. This type of oil formulation does nothing to slow-down oil burning, which is apparently the problem with the OP’s engine.
Swelling the seals happens because the additive is slowly dissolving the seals. The swelling happens first.
I don’t know if Elantra engines might be significantly different in that respect, but in all my cars of the last 25 years vintage I’d, unlike others here, consider a quart every 2500 miles excessive and troublesome. With one toyota and two Subarus I never had to add one drop of oil between 6000 mile oil changes. Even when in some cases that 6000 miles included some very high speed driving at very high desert temperatures. When my friend’s new 2013 Forester turned out to be needing a quart within 1200 miles Subaru acknowledge that wasn’t right and at 20,000 miles gave them a new engine. Now if they’d been needing to add a quart every 2500 miles (which is definitely NOT right IMO for a new Subaru at 20K miles) they’d have been pretty much out of luck… Subaru likely wouldn’t blown it off as “within normal.”
Apparently many other Hyundai owners believe there’s a real problem:
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I personally have no real solution for you, other than “live with it and hope it doesn’t get worse” or use a slightly heavier oil.
I do note that Hyundai does have a 100,000 mile 10 year drive train warrenty… Better than most other manufacturers 60K. You could try to beat on Hyundai under that.
My friend who had the oil consumption problem with his 2013 Subaru got under the dealer’s bar of “more than a quart per 1200 miles is unacceptable” but I told him that if it were using even a quart every 3000 (and being blown off as “normal” by Subaru) he could siphon out some oil to make it register as using a quart per 1200 to get Subaru to take responsibility. 
So you told the guy to commit fraud? Remind me not to take your advice.
I’m glad you’ve had good success with cars not burning oil. That’s not the norm for many people, unfortunately. That being said I don’t consider 1 quart/1,000 miles excessive.
@davepsinbox_157004 said it best:
Hyundai recommends 5W20. I live in northern Ohio, so coldish winters, below 0 temps are common. Is it safe to go up to a 10w20/10w30 in the winter?
That 1st number, 5w, 10w etc. relates to cold viscosity, “W” stands for winter.
The second number relates to viscosity at operating temperature.
But oil always get thinner as it heats up. 0w20 at 32F is thicker than 20w50 at 200F.
Where you are, and wanting to try a thicker oil to reduce consumption, I’d try 5w40 or 0w40.
Update, after 2000 miles after replacement of pcv, no measurable loss of oil. Seems like the winner.