I disagree with the premise that honing doesn't straighten the bore a bit, but the hole has to be a tad undersized beforehand, which it is. Here's a good read on align honing engine blocks. I've done a bunch of them. The article explains it in pretty good detail. Maybe you haven't seen the type of hone used. If not, I can see why you'd say what you did. I think when you see this you'll get what I'm saying though. It's not like you're running a "flex hone" through the rifle bore. This is very important to understand. It's not just polishing to a desired finish. It's actually just like THIS article says! So, as long as the bore is undersized when you start, as in, reamed before honing does, the honing process will do 3 things,. It'll bring the hole to size prior to rifling, hone out the high and low areas(straighten relative to center) and leave a specific finish, which has a HUGE affect on button pull force. Too smooth is a real thing here and can greatly increase pull force. I'm sure you'll understand.
Again, I think the article explains it well but you can google videos of the process by just searching "engine align boring and honing". With this type of hone, also made by Sunnen, honing is pretty much just like boring. It's a lot like pre boring a chamber before reaming to do away with runout after drilling. A whole lot like it, really. The whole premise of align honing is that cast iron engine block, after hundreds of thousands of heating/cooling cycles shifts when it's disassembled and the stresses are relieved. It's called core shift, fwiw. Yes, it has a name but that name has nothing to do with gun bbls., per se.
@AlNyhus
The proper alignment of your main bearings is a critical factor when building a high-performance engine. We talk about the nitty gritty of align honing.
www.enginelabs.com