Hey Brett! Haskap, currant and gooseberry can be grown in shade. The haskaps may look worse in full sun and be the biggest issue. Having said that spring and fall is everything. And you said not as hot as me, so I think they will look awful in July, but be fine and survive. The currants and gooseberries should grow fine in full sun. 4 foot spacing is moderate spacing, and may become crowded, but I have spaced even closer. I think it’s a good choice. A little pruning can keep them in check, if even needed from overcroawding. 4 foot is a lot of room. How to prune haskaps, is a good question. Mine are so young, I won’t really know best approach for some time… Like with currants removing 5 year old canes, and limiting total canes is a good idea. Older canes become unproductive, and you can get more sugar, and bigger berries by limiting production, via the number of new canes allowed to stay. Remove low (or use to root new plants), and weak canes. Currants can also be formed into cordons. I’m experimenting with all ways to prune.
I don’t know that much about Aronia, think it wants full sun, and I know serviceberry/saskatoon loves full sun. If you can shade the honeyberries during the hottest part of the day that would be ideal for them, but should with care survive in full sun. Some will do better than others. All the others will be fine. Even though I have been growing most of these berries for a bit, most are in some shade, so my experience in full sun is very limited. So yes a test plot is in order to find out for sure. If your raspberries are fine in full sun, i would think all of these will be too, even if not ideal for honeyberries.
Speaking of cordons I have one red currant growing on a fence. taking years to size up!