I remember dropping my treo 650 while hiking. The back cover came off, the battery went flying and worst of all - my memory card was dislodged and disappeared in the woods.
I have a pixel 5a with a dead screen that runs but can't be used because the dead part is part of the motherboard not the screen. It's a known problem with this model. So it still runs, but I can't recover any pics or texts from dead people from it because I can't respond to the screen prompts to allow the USB connection.
Commenter was pointing out a design problem. Your phone has a different design problem. Are you arguing that a device being able to fail in one way makes it ok for it to also be able to fail in other ways?
I managed to use scrcpy's awesome KVM feature to do just this: it simulates a keyboard and mouse, so fumbling through hitting tab multiple times and enter, the phone showed up as MTP device and I could download the pictures.
Phone had dead display+touchscreen like yours.
Couldn't manage to enable usb debugging so no backups of texts though :/