As a "Metric" guy, let me to input my 2 cents (as you say).
I worked with both systems and 7/16" is "visual" for me but I live in a "Metric" environment and as I responded once; I would not by nothing from USA because I will not find parts or bits or whatever to fit.
It's the same for you in the USA, you would not buy a table saw with 30 mm arbor because it will be very difficult to find in the BORG and you would not like to "run" all over the Internet to find 30 mm bore that will cost you more because it's special production or "Imported".
Yes, the Metric system is very easy to use because it does not have any fractions and it's decimal.
The smallest unit is the Millimeter and in the very few cases we use 0.5 mm or so.
I was reading in "WoodWeb" a reply to someone that was working with CNC and did not get good precision, the reply was "you must change to Millimeters".
I think that it's a bit of a problem to use Metric system in Imperial environment, not only but you are "pre-programmed" to think Imperial like we in Europe are pre-programmed to think Metric, and let me tell you a "secret"; in Europe, the iron water tubes are measured in "Zal" (tsal) that is German for Inch, so when I buy the iron tubes for the "Ponney" clamps I buy 3/4 Zal tube.
I think that you could make the Imperial measuring system for woodworking much easier...
Usually, in Europe, you will not see a furniture plan with dimensions less the 1 mm.
When you plan and make the drawings, you can decide that you are using only one denominator, you can choose x/16" or x/32" or even x/64" (if you can see it) and than you just print on the plan "all dimensions are x/32" and write only the upper number of the fraction (I don't know how it's called in English) without all the 3/16" on one dimension and 27/32" on the other...you will just see numbers like 4, 7, 16 or 28....
But, you know better if it will work...
btw, I personally measure in Centimeters because that's what I see on the rulers and measuring tapes...
Just my 2 Zloty