I have a 2003 3.2TL Type S (which I absolutely love) that I've been towing 4 down for over a year with no problem. Just follow the proper procedures. Start the engine, put it in 1st and work your way up to neutral. Let it idle for a few minutes and you're off. NEVER go from reverse to neutral.
I don't know about the TSX, but I would imagine the procedure is about the same. Honda says these are not towable, but I've heard quite a few people towing Honda Accords and Acura TLs. Mine's a few years old, and yours will be new, so there may be some differences.
Hope that helps
2014 Thor Miramar 34.1
2012 VW Golf TDI - 6-speed manual (3 pedals!)
Better half, 2 sons-18 & 16