I would not blame your chamber or anything else until you try some Prvi Partizan brass.
If the Winchester cases do not have a uniform case body wall thickness the case will bulge on the thin side. Meaning you could have defective brass that is causing the case splits.
Lubing the cases will increase bolt thrust up to 50% more than normal. And over time this can increase your headspace faster than normal.
P.O. Ackley did an experiment with a 30-30 improved cartridge in a Winchester 94. He made sure the cartridge and chamber were dry and oil free and removed the rifles locking bolt. The rifle was remotely fired and nothing happened, the cartridge case gripped the chamber walls and never contacted the bolt face. No kaboom, and no damage to the rifle with only the primer protruding from the base of the case. At 38,000 cup or 42,000 psi the chamber pressure was not great enough to make the case stretch and contact the bolt face.
I do not have a Hornet but I do use Prvi Parizan brass in my .303 British Enfield rifles because of its quality.
Below both cases were fired in the same 1943 No.4 Enfield .303 rifle. The Privi case on the left has thicker rims, a larger base diameter and .010 thicker in the base web area.
I fire form my .303 British cases by slipping a thin rubber o-ring or a small rubber band for braces over the case.. This holds the case against the bolt face just like a false shoulder or seating the bullets long and jamming them into the rifling.
Below I was using .312 pistol bullets with reduced loads of SR-4759. Today you can use Train Boss powder if you do not have any SR-4759.
You can also seat a fired spent primer in your cases with just your fingers. And then chamber this case and let the bolt face seat the primer. The amount the primer is protruding is your head clearance or the air space between the rear of the case and the bolt face.
Note, on a Enfield rifle at max military headspace of .074 and a rim thickness of .058 you will have .016 head clearance.
Below with a resized case and minimum shoulder bump you would have .001 to .002 head clearance.
Bottom line, before you blame your rifle get some good quality brass. And this will not be Winchester brass, case diameter, and chamber diameter effects case expansion.
A RCBS Case Mastering Gauge can be used to measure case wall thickness and the quality of your brass.