You are lucky they make anything LH , most donot , see IF Sako make a LH TRG , yeah Naa , also if you using a rifle that is heavy in weight , its more often going to be supported by either a bipod or tripod , as such , why not run it from your Left side , But cycle the bolt with your right hand .The only use of a LH bolt is shooting un-supported in my view .
I am right handed and right eye dominate , but have thought of using a LH bolt , shooting from the LH side , left eye , and using my master hand to cycle bolt , the only down side is 2 fold , un-supported posn & weaker arm ( ie non master ) this is 2 fold the strenght in arm is less , as well as strenght in finger ( trigger ) , faster cycling and no breaking firing posn etc .
So you can over come some of the downsides by , using a sling & a lighter pull weight trigger .