The Honda CB350 and CB350 H’ness are essentially the same bike wearing different outfits. The former mimics the design language of the popular Royal Enfield 350s, while the latter has a distinct Honda design.
As such, their riding experiences are going to be exceedingly similar and picking between the two will come down to which one you prefer the look of.
Coming to your query, both these bikes offer good pillion comfort and are good to ride in dense city traffic with their neutral handling and light clutch action, thanks to the slip/assist clutch.