To answer your question, I don't think seafoam, gumout, or any fuel system cleaner will do anything.
I'm going to list a method that worked for me. My sister's 2009 Honda Accord was buring oil like crazy. After leakdown tests which came back good, I figured that maybe the oil ring is clogged up or sticking. First, I sprayed seafoam into the engine. Then, I added gumout to a full tank of gas and drove it until empty. Then, I added 1 ounce of gumout per quart of engine oil. Then, I tried Mopar Combustion Chamber Cleaner (which I believe is MUCH better than seafoam). None of these things worked.
Finally, I tried this.
ACDelco GM Original Equipment 10-3015 Engine Cylinder/Combustion Chamber Cleaner
If this doesn't work, I don't think anything will. However, you need to really, really be careful. Try not to inhale any of the fumes. This stuff stinks and can cause you to pass out if you breathe it in. Here's what I did. Needless to say, don't touch the stuff.
1. Make sure the fuse to the fuel pump is removed or use another method to temporarily disable any fuel being sent to the cumbustion chamber. You can even unplug the electrical connectors to the injectors I suppose.
2. Try to start the care to burn off any fuel left in the lines and to ensure you've disable the fuel system.
3. Remove spark plugs
4. Pour entire bottle equally to each cylinder through the spark plug holes and let it sit overnight or at least 6 hours. You'll want to cover the spark plug holes with sort of lint free and fairly cleantowel or rag. This is just to preven any debris, bug, dust, etc. getting in there. If I remember correctly, you don't want to leave it more than 12 hours.
Now the messy part:
5. You're going to need to get rid of that stuff before you put the spark plugs back in or you WILL hydrolock your engine. I just left the towel loosely over the spark plug holes to minimize the spray and cranked the engine. It still did get all over the side of the cylinder head, but it wasn't bad to be honest. A less half a$$ approach would be to stick a fluid transfer pump into each spark plug hole and try to suck up as much as you possibly can. Harbor Freight sells one for 5 bucks, but make sure you get one with a tube thin enough to get into the spark plug hole. Be careful to not get any on your hands and to not inhale the fumes. I don't know where you can dispose of it. Be careful with that stuff. Once, most of it was out the engine, I removed the towel and cranked and cranked until I did not see any mist shooting out the spark plug hole. Crank the engine over and look for mist shooting out. I was able to look through my windshield, but you may need to have someone crank it while you look. Wear some type of goggle and stand back so that junk doesn't spray on you or your eyes. PLEASE MAKE SURE you do not reinstall the spark plugs and try to turn over the engine with that liquid still in there. You WILL bend/crack a rod, valve, ring, piston head.
6. Reinstall the spark plugs.
7. Reinstall the fuel pump fuse/ enable the fuel system.
8. Fire it up. Drive it gently for a mile or two. (White smoke WILL be coming from the exhaust, but this is expected and will go away after a few mintues)
9. GET AN OIL CHANGE. (Some of that stuff will have made it's way down into the crankcase and into the oil pan). You don't want that stuff sitting in your oil or engine.
My Sister's car went from burning at least a quart and a half per 1,000 miles to less than a quart per 3,000 miles. Less than a fifth of the previous oil consumption. I was shocked it worked, but it did. This was over 2 years and 30,000 miles so I can safely say the engine wasn't damaged and it solved her oil consumption.
I'm pretty sure this will work for you. I have no idea how easy accessing the spark plugs are and you may need to use a funnel to pour that stuff into the spark plug holes. I did this in 2 steps. I rotated the engine by hand until the middle 2 pistons were on the bottom of the cylinder, poured into those 2 and let sit for 6 hours. Then I rotated the engine until the outer 2 pistons were at the bottom and poured into those 2 and let those sit for 6 hours.
You may want to replace the spark plugs while you're doing this. It's a good opportunity.