That looks like the same style/era as the little blue one I just posted. I looked for it on the wayback machine and kept finding that one, but mine was "laced suede duffle" and only showed up on one of the catalogs that came up.
Use your judgement on the pillowcase. I've done both, but I probably wouldn't because I just throw them in with a bunch of old towels and I think the abrasion from the terry cloth actually helps clean the suede. And you don't have to worry about scratching like you do with smooth leather. The buckles clanging around always makes me nervous but if you have other stuff in there it's not too bad and I've never had any damage from that.
I wouldn't use the net bag. I tried it once and it left net imprints in the suede. It wasn't permanent, I think I just rubbed it with a dry wash cloth to raise the nap and that did it, it just was unnecesary, you know.
I think that is the easiest color to work with too, because the suede wants to be in that color family, you know?
And as far as stiff, I have washed quite a few suede items and they always come out a little stiff. Lately I have been thinking about experimenting with the emu oil on something because it seems like it moisturizes the smooth leather without leaving any marks, but I haven't done it yet. It's just like when you hang clothes to dry though, they soften up with use. Just make sure all the soap is rinsed out, but you know that.

I also wonder if putting a little softener in the rinse cycle would have helped? I will probably try it if I wash suede again but I haven't yet. I can't see how it would hurt though. Worst case scenario it might slightly darken but since it would be even it probably wouldn't matter, and I can't imagine that it would even do that.