No, that's not how the coned breech works.
It's explained in the first few pages of this thread, but I'll toss in an image that might help explain it.
This first image is unmolested and shows how the cartridge sits in a coned breech barrel. Note that the rim and extractor groove are the only unsupported part of the brass.
View attachment 8071478
With a flat breech, the tapered portion is not part of the barrel, but the cartridge still gets the same support.
Sorry for the lousy image, but I'm doing this on my phone and the new photo manipulation socks.
Everything to the left of the red line isn't part of a flat breech.
View attachment 8071492