OK with central perhaps somewhat exaggerated. For us it is central with connection to the train station etc.
Godesberg is nice. As long as you don’t get trampled to death at the station. Bad joke, please don’t take it seriously. We also looked at Godesberg but didn’t find anything suitable, now we have landed far to the south.
Absolutely, I grew up on Brüser Berg. It was Bonn's social hotspot No. 1 for years. (so not me^^) Still, a really nice area. Regardless, for me Bonn is the most beautiful large small town in Germany.