I've sailed Ts with a similar set up and yes it does work. But I wouldn't recommend it. To many ropes. The best system I've used had the ends of the 2:1 split port and stbd from the boom and tied off onto the side stays. Put a small ball or stopper knot just outboard of the blocks at the forward end of the boom so the "lazy" sheet doesn't pull through. When you get the setup right the lazy sheet will have just enough slack to rest on the tramp.

You won't get 4:1 at the back it will have to be 3:1 or 5:1