From what I can tell, the pro max ultra wide and wide lenses are identical, but the pro max has more zoom from the telephoto at the expense of aperture size (which is typical of telephoto lenses). The Max's f/2.2 aperture lets less light in than the non-Max's f/2.0.
By the way the 12 Pro camera specs look just like the 11 pro except for the wide angle lens having a wider aperture and software features (RAW editing and advanced HDR stuff).
11 Pro Specs:
Ultra Wide: ƒ/2.4 aperture
Wide: ƒ/1.8 aperture
Telephoto: ƒ/2.0 aperture
2x optical zoom in, 2x optical zoom out; 4x optical zoom range
Dual optical image stabilization
12 Pro Specs:
Ultra Wide: ƒ/2.4 aperture
Wide: ƒ/1.6 aperture
Telephoto: ƒ/2.0 aperture
2x optical zoom in, 2x optical zoom out; 4x optical zoom range
Dual optical image stabilization
12 Pro Max Specs:
Ultra Wide: ƒ/2.4 aperture
Wide: ƒ/1.6 aperture
Telephoto: ƒ/2.2 aperture
2.5x optical zoom in, 2x optical zoom out; 5x optical zoom range
Sensor-shift optical image stabilization
Compare features and technical specifications for iPhone 15 Pro, iPhone 15 Pro Max, iPhone 15, iPhone 15 Plus, iPhone SE, and many more.
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I don't really want to carry around a large phone but I probably will if it means a better camera...