unpopular opinion:
The effort of “tidying up” cables is never worth it.
You’ll always end up having to change something and your sophisticated cable management turns a 10 minute job into a 1 hour job, as you cut zip ties and dig out cables.
Just plug that shit in, label both ends with numbered tape, and let it look messy.

At least put in the minimum effort of trying to follow the original path (assuming someone worth their salary actually was involved in the making of the site.).

Youd be surprised at the difference in mess from just plugging ‘a to b’ and ‘a to b via c’ no matter how many techs having been involved.

I’d obviously plan the initial setup, start with connecting ports close together via short cables, then put the longer connections on top, avoid unnecessary crossings.
And when switching out a cable, look for the most direct path
Cable trays is the magic word. Any rack larger than 2u that see frequent patching need them no matter what accounting thinks.