Re: Convergence. Much like "combat freighters", I'd love to see a bit more combat ability on a "combat carrier". A good example of what I expect from a ship that advertises itself as a combat carrier would be the Venture and Odyssey ships. For combat freighter, my favorite is the Apogee. I'd love to see more ships along those lines - things that are worth deploying into combat on their own merits.
For another example, I keep looking at the Eschaton and thinking "This should have a bit better flux stats, a bit more armor, and those three medium weapon slots should be large slots,* and then suddenly it'd be worth fielding - still wouldn't be a real capital thanks to the lack of supporting / secondary weaponry, but it could actually go out there and make a difference in a fight."
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* Edit: And ordnance points scaled up some as well, of course.