We've had Caravanstores for many years. Most recently the XL size. (KiwiVanner makes an important point regarding partial "roll-out" of sizes 360 and upwards).
We have always rolled "underhand" (clockwise viewed from the front).
Our current canopy is quite new and the material is thinner than the previous Caravanstore Zip. It might be possible to roll the lighter version either way but underhand works for us.
Underhand the weight of the canopy is on the full palm of the hands rather than the thumbs if rolled counter clockwise - that makes it easier to control if caught by a gust of wind I think.
The Velcro straps still need to be considered as it's possible to roll them into the canopy but generally easily sorted.
We don't tow our van with it still attached to the van so don't have that problem. We have had ours many years now. Alot of discussion on forums over the years re whether to tow with them in place or not. Several tales of effect on towing stability, excessive stress on awning rails etc. General consensus was to remove for towing, - but personal choice.
As you've read we have always left ours attached for most of the year, certainly during the European trips. I'm just trying to understand what you mean when you say you don't tow with it attached to the van. Do you carry it inside the van then put it on and off every time you stop? Doesn't it get in the way inside the van - if that's where you carry it?
I'm also not clear where the "general consensus" has come from. I would have thought people using a caravanstore used it for convenience as much as anything - speed being important. My view is exactly the opposite to yours and I would claim any "general consensus" would point to travelling with it in the awning rail ready for use as the manufacturer intended. Removing and returning ours once a year (so that we can use a small inflatable awning in the winter months in the UK) is a job I don't really relish. To do it for every trip/stop would be unthinkable.
As for stability when towing it makes no difference on or off and the awning rail stress is probably less with it hanging passively in its bag than when out and caught by gusts of wind.
As you say, "personal choice".
