Replying more about motion relative features than views from west.
It seems to me storm features are almost always very much the same, regardless if the storm is moving northeast or due south or anything in between. Even north or nw movement too.
Due west at a supercell moving due south to ssw. Mid-level flow mostly out of the west but real weak getting to nw aloft.
http://www.extremeinstability.com/04-7-12.htm
Due west at a supercell moving due north and even hooking nw. Mid-level flow southerly.
http://www.extremeinstability.com/07-3-28.htm
Looking west again. I think this one was more solidly nw flow in the mid-levels but not certain. I do know it was moving nearly straight sw at points.
http://www.extremeinstability.com/july_24,_2000_n._central_nebraska_tornadoes.htm
I'd say if the storm is solidly surface based, features will look very much the same regardless of motion. Left splits would be more apt to have the inflow on the nw/n side.
The only time I felt "back-assward" watching a storm was on a ne to e mid-level flow odd summer day. Strong high and there was a good jet out of the ne or ene over instability here. Storm formed and moved due west. Now that thing was backward with the inflow truly on the west side. Beavertail thing was going wsw down the road at me, on the south side of the base, north of the core... as I looked east at it.
To be more thread related here is one from the west.
From west all you usually see is an updraft tower first, then rain. To see anything again sometimes you just have to punch east into that rain and hopefully pop out with a view before being "too close" to something. Then structure wise you can usually just follow the "coil" of the flanking line/gust front out ahead and to the se on north and around back to where you are. Can kind of do that on the above.
http://www.extremeinstability.com/04-5-22.htm
That whole chase was from the west, not where I wanted or ever really want to be.
June 7 last year on the west side. Again, first all one saw was a big updraft tower. Then drive into its rain. Punch through the rain/hail and come out to that just east of you. Al this one was from the west too...
http://www.extremeinstability.com/09-6-7.htm
Another from the west. Get a wall cloud and usually you have the clear slot viewable. Can see it is drier on the left/nw and trying to cut/dry in on this side of the wall cloud.
Same storm short bit later. Clear slot grew as did wall cloud though it was more strung out now and less organized at this point. Just cycling a larger area or rotation.