It's not what you see, or feel with your finger, when it comes to honing for new rings. It's about a very precise structure of the cylinder walls that is required for the new rings to bed in properly. This structure can really only be viewed when using microscopes and such. Every time you change piston rings, you need to re-create that precise finish, or the new rings will not bed in properly on the cylinder walls and you're worse off than re-using the old rings.
Having done a few of these myself, judging by your pictures, I'd say you have 5 of 8 tappets worn irregularly. That means that at least 5 of the lobes on your cams are worn. You can tell by the circular patterns on top of the tappets. Those are very typical for Alfa hydraulic tappets. I guess it's the same for other brands, but I haven't seen any of those myself so it may be different.