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Yes. Unlocked iPhones that aren't connected to apple.com can be used with any network. The new iPhone you purchase from apple.com is unlocked after activation. It can then be used with any network that supports iPhone. You can only buy an iPhone with an AT&T installment plan. It will be locked at AT&T and can only work on AT&T's network during the term of your Installment Agreement agreement.
Although the iPhone 13 Pro Max is not available from all retailers, it's possible to save up to $700 by trading in an older device.
The inclusion of the Apple A15 Bionic chip, the most powerful mobile processor available from Apple and a CPU Apple claims to be 50% faster than any other competitor, is worth mentioning. The Pro Max and Pro Max both have an upgraded 5-core GPU. This, along with a 120Hz display, upgraded battery and improvements in camera sensors, makes the Pro Max and Pro Max very powerful.