The addon uses the rest position of the object for the texture mapping, so any modifier affecting the shape and geometry of the object will also deform and alter the texture. This is not very notable in most cases, but it can stretch the texture in some extreme cases.
Cylinder with Subdivision Surface:
How to solve it?
Apply all the modifiers that specifically affect the geometry and topology of the object to get the final object shape like Subdivision surface and bevel modifiers.
You can then use a rig, shape keys, modifiers and geometry nodes to animate, bend or deform your object and the texture will stay in place.
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