I went home, fetched a couple of GW paint pots and headed back to the store to test it out. Fortunately it was a perfect match - perfect in the sense that if it was marketed as a GW paint holder you would believe it.
The one I saw was silver-colored so I had a look around the internet intent on finding something other than silver. To my merriment I discovered the item is manufactured by a company called Osco and is also available in black.
As you can see it holds a lot of paint, at an estimation I'd say 70 pots per draw is the upper limit so unless you inhale paint regularly this will keep your brushes in action for a very long time. If you want to find one type "osco mesh paper drawers" as the google search term. It's built well and is very cheap - only £15 for 210 paints a worthy investment. Whether you can find this exact model or not is besides the point (thinking of US based readers), it's a good option and I'm sure there are similar items available. For example here are a set of 5 drawers once again from Osco.