I am yet to see a shoe that's supposed to have wide and narrow fits, actually being wider than it's narrow cousin. I made myself rather unpopular when I was still shopping around with optimism for wider shoes. I used to go shopping with a vernier. The assistant would say: "This shoe has a wide cut" and I would measure it across the widest part and compare to shoes with a supposedly narrow fit. They are all the same. I eventually found a New Balance sales rep that knew his stuff and we compared shoe widths in his van. 8 1/2 vs 8 1/2 EEE (wide fit). The soles were exactly the same width. He then took the issue up with the New Balance agent (his employer) who ignored us. The rep himself them took it up with the manufacturer and discovered that the width doesn't change, just the size of the toe box. In other words, there's a bit more material over the toes but not more width. This doesn't help if the problem is that you are actually spilling over the sides of the sole but have inches of space in front of the toes.
I kept up my pursuit of wider shoes but found none. The sales reps always claim they have a solution but my vernier doesn't lie. They get pretty defensive when I point this out. The search for truth isn't always an easy one.
From measurement - not hearsay, I can honestly tell you that there is no wider shoe than the norm. There may be an anomaly to this which I have not yet tested. Shimano has made a big song and dance a few years ago about some wider last they use - a Performance Last, if I remember correctly. That's the one shoe I have not yet measured.
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Here's a picture of a vernier for those who don't know. It is an instrument for measuring odd-shaped objects, holes and ridges, with precision.