As I have posted MANY times, I do some very long trips in m Model A while towing. 95% of the time, I'm in overdrive 3rd gear but high second is a VERY handy extra "gear".
In stop - start city traffic, the extra gears are more than handy.With the gap between 1st and 2nd being so wide, high 1st is handy too.
With an original gearbox, the shift from high 2nd to standard 3rd is easy, quick and silent. One of my cars has a Mitchell gearbox as well as the O/D. High 2nd to 3rd is easy with one action. I hook my fingers around both levers and pull back. I'm not sure how easy that would be in a LHD car.
I have 4 with Mitchell O/Ds and one with a Mitchell cog box as well.