Consideing all of the grief I get from the new Briggs carbs, I would go with the Honda every day of the week and the nights as well.
There is a reason why the Hondas are a lot more expensive than the Briggs and it is not higher profit margins.
In the 7 years I have been repairing mowers, the only "mechanical " problem I have encountered with any of the Honda engines is from the rocker covers being bashed in so far they foul the rockers.