Just to show you it can be done, I had temporarily installed the clough42 print cooler on the left side. The shroud mount was bolted onto a piece of hobby plywood shaped to follow the X-carriage, except it went higher. You can't see it in the picture, but there's a hole in the plywood below the shroud mount that was used with the existing screw location on the left side of the X-carriage.
I say this was temporary in that I only used it until I could get a blower system (not a fan) in place, also mounted to the side. I found the airflow lacking with a shrouded axial fan, since axial fans aren't designed to operate with the backpressure that a shroud creates.