No, if i strafe in autocast the move speed is very slow. Move via mouse cursor.
It feel's like 1/4 normal mouse speed. No network lagging. Need to check force move as Yster suggested.
@Marmite, this is how I play:
LMB: EF - Focus
RMB: Strafe (I find it easy to hold down this button down most of the time, no cramping)
1: Companion - Wolf
2: SS - Lingering Fog
3: RoV - Stampede
4: Preparation - Focused Mind
Autocast: companion & preparation
Force stand still: spacebar (default is shift, but this will destroy your hand).
So, when I play I keep spacebar pressed with my thumb and my middle and index fingers on 2 and 3. I keep RMB pressed and fly about shooting things. Since spacebar is held down, the moment I left click, it shoots EF.
Whilst casting Strafe, you do move slower, unless you use the lightning rune on it. I see no point in perma-strafing, since sometimes there's nothing to shoot at.
It takes some practise, it is not an easy playstyle, but you will gradually get used to it, and it is very rewarding once you start getting it right. Don't give up to soon.