Having been a BMC engined Turner owner in the past, I had occasion to read Dave Vizard's excellent book on tuning that particular engine. He did quite a bit of studying into the use of trumpets and various types of air filters. His conclusions were that the wire gauze really mucked up the air flow. In the 50's 60's & early 70's modern foam filters weren't available, so taking off the sometimes rubbish paper filter and standard air box did help, and wire mesh was good at keeping stone particles out. But as has been pointed out it doesn't keep out dust/sand. So by using meshed open trumpets you might not significantly increase the air flow, and be leaving the engine open to damage.
I've seen it discussed on other forums and having talked to the folk in Norfolk, and I gather that really the standard Fulvia box isn't too far off the mark, maybe extending the intake tube to get a blast of cold air being one of the mods suggested.
Like everything, views vary, but I'm sure it sounds sportier on the open trumpets
