I have wrenched and owned both Puch and Honda, neither are my principal choice of bikes but choice comes down to personal taste as well as other factors. So maybe my opinions are less biased as they are not my main ride(s).
Sorry Puch folks, I would suggest the Honda as the better ride and wrenchability over the Puch.
Based on some of the above comments...
Folks complain about the Honda's carb quality and placement issue, just get a different intake set up so it has a right angle and that issue is done, the quality issue is just needing to clean it properly.
If you had other Honda bikes before the wiring will be no problem because it follows the Honda Common Wiring scheme.
If properly tuned, Hondas, even after sitting long time, will start one kick to prime one to start, while standing beside the bike (and not using it as a stationary exercise bicycle). Puchs... actually will start exactly the same when in good tune. So I dont know about some of the other comments.
Monocoque bikes have an issue with frames rusting from the inside out, this pertains to all of them not just Puch. Staying on topic though, I have scrapped 3 Puch bikes from tank rust through, zero Hondas scrapped for same reason because you can just hunt down a new tank (or add a upper stress bar and substitut a small top tank).
But final choice comes down to personal taste, neither are hugely more difficult that the other, both have their own appeals.