The lever always works the same direction. Can't ever tell about cast from pix. Semi-beavertail are just fine for double rifles, maybe prefered, it's the extra pressure from the hand-hold that has been a problem with - mostly - shotguns restocked from splinter to beavertail. Beavertail increases control which is a definately a good factor for a rifle. I'm quite sure Holland has grown beyond the consideration of loop strength with their doubles. The trigger guard tells me this rifle was built for a lefty.
I'd order a semi-beavertail, if I was ordering, but I'd look for a great used gun first. And this is a very nice one!