Some papers will swell under ink-load and often, but not always, cause (when viewed from head-on as print emerges) a wave-like shape across the print as different areas of the paper swell vs others.
When they do distort, the high points will contact X on the 'roof' of the paper path and thin scratches will result. Our (former) Epson 3800 was infamous for it.
Check the paper path between the print head and 'ejection port'. Whatever the paper is hitting, it is removing ink that's already been laid down. It may be that once the inked paper is no longer under vacuum pressure, the paper distorts at the edge and brushes against something.
On a thinner or maybe very flat paper, it may not be an issue. But it's cumulative: Paper X swells by X% + maybe not flat edge-edge + thicker paper + heavy texture = odds of scratch increasing once no longer under vacuum.
The uneven ink lay-down (head issue?) may or may not have any connection. Fact the high points are lighter is odd at first glance as they're closer to the print head - maybe a fault in paper coating (if has one)?
Be nice if printers had a laser measurement system that scanned papers for flatness edge-edge just before they hit the print head and could adjust paper path/head height, vacuum pressure, etc. Also be nice if papers were under vacuum until paper had cleared paper path.
Let us know what you determine.