It's funny to hear you say that Bob, about 5/8", and it is most accurate, but funny. My only in-depth experiences in "line" is with synthetic Nylon...a very narrow field. I knew folks who logged with cable only (no chain) and I've heard of people anchoring with Spectra. My father's era was still Manila for all uses, farming, towing, anchoring, mooring and lifting, and the hawsers were huge. Most of us using Nylon migrate towards what feels well in hand as that is also closer to the required size as well.
If you go by tensile strength alone you will find that for a CD22 size boat that 3.5mm Dyneema is all that is required, 4-5mm for a CD25, but there are other concerns beyond tensile strength alone. Wear resistance, shear moment and elasticity are at least a few of the other concerns.
Nylon, probably and most comfortably, handles all concerns as it relates to boater's needs. The only shortcoming seems to be with capacity. One can't hardly dedicate enough space onboard to hold enough for all applications in rigging and anchoring ( I realize this an overstatement for many, I apologize, but stick with me). When you go online and peek around, at charts and ratings from anchoring equipment suppliers, you discover some very interesting data that most of us ignore, that is rode size and tensile strength in Nylon line. As I said above with nylon we tend to grab our new rodes from sizes that feel comfy in our hands. If we took that method for big ship mooring it would brake. If we took that method with Dyneema we couldn't afford it ($$$). So I figured out what was really needed to anchor my little 22 with Nylon and it is less than 3/8". I would not have chosen that size due to lack of comfort in hand. Also we tend to feel moor comfortable with knowing out lifeline is oversize.
So when AI starts talking 5/8....I was thinking 5/16 for Nylon Snubber. Still though. This is a discussion and I'm glad we're having it, even if Grok was off base this time.
I just ordered a drum winch. ( would you still call it a drum 'windlass'?) For the 22 the manufacturer recommends that the main rode be 4mm Dyneema, with 8 meters of 6 or 8 meters of Dyneema and then, at the end, 20' of 1/4" chain. With this schedule you can get a lot of line onto that drum. I'm not sure just exactly what I'll feel comfy using. So for now I'll just put some shorter 1/2" on it.