You must be invested in Dyneema,
@colemj. I get that you are a fan, but I think you have taken an extreme view on the subject. I detect a little confirmation bias. I get that you think you are objectively correct on this. Just understand that not everyone sees sailing and the choices about equipment and materials the same as you. And, they are not wrong.
I have nothing against your choice to prefer Dyneema-like materials. But, your arguments are reductionist. I do not wish to argue with you. I simply want to point out that there is not one blanket correct answer to this question. I hope you can make room for that position.
As for me, many of my polyester rigging lines are up for replacement. I will replace them with polyester - not because I am inadequately informed, but because the pros of Dyneema simply don't outweigh the cons to me. My enjoyment of sailing will be unaffected.
As to the original question, I just don't think it matters one way or the other in this case, except to say there is no reason to spend more money, unless one really prefers the handling characteristics of Dyneema (for some reason). Any performance benefit is highly situational and probably more about perception bias than physics.
If there is something I'm incorrect about, please correct it. There is objectively little reason for using polyester double braid for running rigging anymore. The only reason is price if one cannot downsize even a little bit because of clutches, or one finds a smoking deal on polyester (but same goes for dyneema there).
This is less of me arguing, and more about presenting current information to those considering replacing running rigging. Until the past few years, the price of higher modulus lines has been substantially above polyDB. This is no longer the case up front, and definitely not the case over the line's lifespan. Unless one has been keeping up in these markets, this is information that escapes them. I know it did me until it was time to replace our running rigging.
In no universe is stretch ever a good thing for running rigging, the things it is attached to, or the things it runs over/through, and people are beginning to understand this better now that they have realistic choices. Polyester was often times sized for minimum stretch in the past, and boats ended up with large line for little reason. Ours came with 14mm and 16mm double braid running rigging, and that has all been replaced with 10mm dyneema, since the large sized polyDB was only to keep stretch to a minimum, not because that breaking strength was necessary.
The multiple references to dyneema's handling characteristics are puzzling, because the construction of it (covered dyneema) and polyesterDB is the same in terms of lay and how the rope behaves, and I don't know anyone who can tell the difference. I sure can't. The one difference is as the rope ages, dyneema doesn't get all stiff and hard like polyDB.
There are no cons to dyneema running rigging compared to polyester double braid, even ignoring stretch or potential performance issues.
Many of your arguments can be used to support manila rope. But I accept that you for reasons that have nothing to do with price, performance, stretch, splicing ease, long life, hard to chafe, weight savings, weather resistance, and wet performance, want to stay with polyester double braid.
One related example: we just got new forward nets for our boat (catamaran). The manufacturer used to supply them with 3/16" polyDB lacing lines, but now has switched to 3/32" bare dyneema. I discussed this with them, because I've always thrown away the supplied rope in the past and laced with dyneema. Their answer for the switch was because dyneema is now the same price as the polyDB, it doesn't stretch and bag out the nets or tear out the fittings (stretch is as bad for nets and attachment hardware as it is for running rigging on a boat), it lasts the life of the nets (10-15yrs) in the elements and chafing and doesn't need to be replaced every 3-4yrs like polyDB. Sounds a lot like running rigging.
Mark