Only 2 data pins per side are reversible that way, and it's the low speed ones.
The high speed pins (4 per side) should be going directly into a multiplexer or driver, the CC pins (1 per side) detect orientation, the sideband pins (1 per side) are only used dual-sided, and the power and ground pins (4 per side) aren't fussy at all.
The high speed pins (4 per side) should be going directly into a multiplexer or driver, the CC pins (1 per side) detect orientation, the sideband pins (1 per side) are only used dual-sided, and the power and ground pins (4 per side) aren't fussy at all.