Bronze colored screen? May I ask the rationale?

Wow Mark. I had no idea there was such a product. It is much more attractive (and expensive).

is it more opaque?

I think you’ll find the following link very helpful:
Phifer Screening

Don't know if copper screen wire is still made, but it's lovely. Definitely not fiberglass - blow on it hard and there is a dent; touch it and it may come out of the frame. Totally impractical even for windows, let alone a porch.

I like aluminum for its strength but in your situation with the dogs you may want to go with fiberglass with it being less prone to damage. We had the same situation. We ended up getting our screening from mosquitocurtains.com they custom size heights and lengths and have a couple options for hanging. We take them down in the fall and fold them up for easy storing.

Following...

ILR- also following as we're planning on a screened in porch too and our location is almost exactly the same ;)

https://www.blackanddecker.com/ideas-and-inspiration/articles/choosing-a-screen-material-for-your-screened-in-porch

Still researching. Sharing this article for those interested.

An interesting product...some of you may not know what I'm talking about but we have no see ums in Illinois. Especially on a lake. Nasty little biting bugs. Here is a product that has a smaller size to keep out those pesky critters! I wonder how much the visibility is actually reduced.

http://www.wholesalescreensandglass.com/Phifer-NoSeeUm-Aluminum-Insect-Screen.html

Did you take screen finder quiz at the Phifer Wire site?

Mosquito curtains also has a noseeum netting that’s available. It’s worked out really well for us and the fact that we can fold them up and put them in an old pillowcase for winter storage is a homerun in my opinion.