I have a drift ghost and Stealth 2.
Ghost S can be used in DVR mode and can obviously therefore be used whilst charging. It comes with the back plate with holes for the mini-USB and Mic. The Stealth 2 does not have such a replacement rear cover. Not sure it works when charging but even if it does it's a micro-USB so not sure how secure it would be and it would not fair well foul weather without the rear cover.
I like the Stealth 2 as a helmet cam for commutes as it's so small and discrete. I put the Ghost on the bike for cool angled shots using a clamp or as a permanent DVR cam for longer trips. If I remember correctly the remote doesn't work when charging but it lasts ages anyway. I don't use the remote very often but when I do its only in tagging mode when on trips. Not having a replaceable battery in the Stealth 2 is a bit shit IMO as it's a bit limiting but it lasts quite a while, which is fine for most commutes.
If you're going to ride all day long and want to record all day long get a ghost and use it in tagging mode either connected to the bike or changing the battery (good 3rd party batteries and 12v charges are available). If you only want to record for a few hours at a time and want a small camera get the Stealth 2.
If you really want to record all day and every day you'll need plenty of external storage... and end up with loads of boring stuff you'll never use or watch again. My advice is to use tagging mode and just keep the best bits then a single 32gb class 10 mini SD will do fine and you can put only the best stuff on your data storage device at the end of each day.
