Traditional razors are built for flat surfaces. Your face isn't flat. That mismatch causes every problem you've been dealing with.
The physics of traditional shaving:
Zero razor burn
No tugging or pulling, even on a week of growth
Closest shave ever
Flexible cartridge wraps around every contour
Shave in half the time
World's thinnest cartridge reaches everywhere
Never clogs
Wide blade spacing rinses clean instantly