As stated by others, there is no documented text in the NEC, but there is some "hinting" done in a few of the Switchgear installation manuals I have read over the Years.
On one of the bulleted lines, there is a paragraph describing to "Check For Pinched Wires When Replacing Covers".
And, as stated by others, it's something to commonly think of when replacing covers, and such.
When dealing with large Feeders in switchgear sections, the Conductors tend to naturally want to spring right against the brackets where the screws for covers are affixed to.
This is apparent prior to installing the covers, and steps should be made to secure the Conductors away from the landing brackets (to avoid a Ground fault issue from a Bolt/Screw penetrating a Conductor's insulation).
With Panelboards, Branch Circuit Conductors should be routed away from possible conflicting areas, such as where the Mounting Holes are located, or where captive clamps will engage the Enclosure.
Screws / Bolts of proper length should be used, and these should have "Dull" or rounded ends.
There are times when a Panelboard was made up in an "Ugly" fashion!
These Panels resemble a tightly packed Bird's Nest inside. Typically, the Covers on these Panels will "Spring Off" when the screws are loosened!
Re-installing the Covers on these Panels is a challenge, to avoid pinching Conductors, or driving a screw through Conductors.