El_Topo the AM1000 rides exactly like you would expect a normal bicycle to ride. I do a lot of cycling and motorcycling and can assure you it is very progressive and smooth and matched to the torque you put in through the pedals. The different assist levels make the controller/motor put in less or more assistance, exactly as you would expect. Starting on a hill is no issue. You get a clean getaway.
No. There is no inbuilt gyro as far as I am aware but then I really don't think you need such a thing. When I was riding mine on Saturday if I wanted a bit more assistance going up a hill I'd knock it up an assistance level and going downhill I'd knock it back. To be honest that's probably not necessary since you really don't need much by the way of motor assistance going down hills due to the weight of the bike and your own pedal power. I was just try to be as sympathetic to the drive as possible, also given it was the first use of the battery so I wanted to only lightly load it on its first few cycles. I also wanted to make sure I was getting a good workout and getting the usual sort of burn in my legs without making it too easy on myself. It all depends what you want from the bike, how fit you are and how much cycling you do anyway. The way my bike rides is faultless. I will have a play with some of the programmable controller settings in due course just to see what difference it makes. I'll have a read up on Bosch's new EMTB gyro functionality just out of interest though. My recommendation to you is that if you're looking for a powerful eBike you won't do any/much better than the AM1000 so just go a buy one. You won't be disappointed.
I am sure newer even better features will come out in the future for eBikes - downhill top up charging for the battery or regenerative braking to charge the battery as well - but this is the here and now and the AM1000 pretty much does all you're going to need.
I'll give you another update once I've had a proper go off road on it.