I like a cable from my iPhone (13 Pro) to my MacBook (M1) and the QuickTime player app because it does not entail yet another device like an iPad, and leaves the MacBook desktop available while, as noted, mirroring the phone to the MacBook occupies the desktop. (I have not tested the moving to another device option mentioned above.)
Perhaps my use case is helpful. I can set the phone in a cheap tripod and either record the phone screen plus other applications or just the phone screen for documentation using QuickTIme Player without any 3rd party solution (which in my experience entails a rat's nest of problems.) What’s more, one can use Siri and Voice Control to control the phone in all ways, not just the camera.
So, for example, if one is interested in documenting through both video and stills some artistic work in progress, one can record the screen or phone face and later save or discard the video, and use Siri to "Say cheese" to take an image at will, these images automatically propagatating to Photos and via iCloud to the laptop.
Siri does not work when the Camera app is open on the phone so one has no control over camera settings. But Voice Control comes to the rescue because it allows one to launch the Camera App and drill in to set settings like zoom and exposure and then click the photo, all with voice commands or a single custom voice command handling all settings at once.
Siri can launch and stop Voice Control and if one uses the number not names optin in Voice Control, there is no conflict with running Siri and Voice Control simultaneously.
All this without disturbing the tripod and camera. Moreover, when the camera and tripod are such that finger and eye access to the phone face and controls are inconvenient or impossible, for example when using the (good) backface camera and pointing the rear camera toward the sky to observe the bottom of something or the night sky, voice control is the only option and seeing the face of the phone mirrored on the laptop provides for interactive use when Voice Control is indicating the names or numbers one needs to say to navigate the phone's applications and menus.
One can simultaneously operate other apps like Sensor Log to record phone orientation via accelerometer and magnetometer settings. A wireless connection to the phone would be awesome but I've tried Bluetooth and wifi (won't connect iPhone and Macbook for QuickTime Player use unfortunately, no matter what I've tried thus far and there seem many threads on this issue but little convergence)