I also have a 2009 BH3670RL. There is an electrical outlet and a cable outlet on the basement wall, and that's it. There is nothing on the back side of the wall panel to reinforce the thin plywood. If you want to mount a TV bracket there, I would suggest getting a piece of 3/4" plywood larger than the footprint of the mounting bracket you intend to use. Put the plywood on the back side of the wall, securing it with glue and some screws (from the front side). That will give you a solid surface to mount the bracket to and give some wood depth for the screws to hold, as well as spread any load out a bit.
To remove the basement wall on the door side, you may find you also need to remove the covering on the washer/dryer plumbing that runs across the compartment door opening. While you're down there, it's a good opportunity to locate your converter and maybe relocate it to a spot safe from any potential water leaks. Mine was directly under the anti-siphon valve for the black tank flush.
And no, I don't have a TV in the basement.