.... but taking full advantage of the "workplace provided" function
Exactly. There's no compromise either, it's a perfectly capable laptop that doesn't leave me wanting on performance, mostly because my work is either admin/browser work or connecting to remote machines which do all of the heavy lifting for me.
The laptop sits on my desk closed. It only ever gets opened when it very rarely crashes (once every 6 months?) and needs to be restarted with the power button on the inside. This is why I want it off the desktop, there's no need for it to be there, it takes up space and makes the desk look a bit cluttered. Mounting it under the desk (so that it remains at desk height) is the obvious solution.
Putting it on the floor (or replacing it with a desktop on the floor) means I'd have more cable nonsense to sort out. The majority of the cables need to plug into things at desktop height (and this is a sit/stand desk). Having it on the floor means a whole bunch of cables now need to extend between 70cm->120cm to reach the monitors, webcam, etc that are all at desktop height.
The only two things that plug into it that I need access to are headphones (and I've got an extension cable being delivered) and the charging/data cable for my Garmin Forerunner watch (and that cable is only 50cm long but could be extended with a USB extension cable).
More importantly, I don't want a desktop as then I'd need both a desktop and a laptop for the rare occasions I do need something portable. And keeping data/etc from disparate applications in sync between two machines is a pain.
I'm still looking for a suitable solution to getting the laptop off the desk. The best idea I've seen recently is the DIY laptop hammock:
https://arstechnica.com/gadgets/2012/03/diy-how-to-make-a-laptop-hammock-for-a-dollar/I don't like the idea of the cords running across the desk but my desk has suitable holes in the frame that would mean I wouldn't need to do this, and left hand side of the desk is up against a wall so the laptop would be perfectly safe hanging there. The cable routing would work quite well I think and it still gives me relatively easy access in the rare occasion I need to grab it back onto the desk.
So now I'm on the lookout for some dowels/rods and a bit of material (hopefully some kind of mesh to make ventilation a complete non-issue) - the laptop has vents on the back and one side and not the base so I could get away with non-mesh cloth if I put it in the correct orientation.