Is the 4E width much wider than standard?

Yes. 4E is Nike's widest men's width, roughly a half inch wider across the forefoot than a standard D. Buyers with bunions or wide toes usually notice the difference right away.

How does it compare with the Air Monarch IV in standard width?

Same leather upper, Air-Sole cushioning and outsole; only the fit changes. The 4E version adds volume through the forefoot and midfoot, so it suits feet that feel cramped in the regular width.

Is it good for standing all day?

It is one of the more cushioned leather trainers around, and nurses and warehouse staff often wear it for full shifts. It is heavy, though, so some prefer a lighter shoe for constant walking.

Can I use it for running or the gym?

It is a cross-training and walking shoe, not a running shoe. The flat, stable platform works for lifting and casual gym use but feels clunky for distance running.

How does it compare with the New Balance 624?

Both are leather wide-width trainers. The Monarch has softer Air-Sole cushioning; the 624 is firmer and a bit lighter, which some buyers prefer for support.