Perhaps try out a TL-S? It will be pricier but maybe you'll like it much more. Doesn't hurt to find out.
I don't mind the steering in my TSX (great on center feel and nicely weighted imho) but I guess the TL is a heavier car.
The TSX's steering feel is significantly better than the TL's IMHO. It was the first thing I noticed in trying the two cars. And the TSX (= european Accord EuroR) steering is a main reason I bought the car. If I remember correctly, the TL was built for American tastes.
I agree your suggestion to Newman to try the TL-S. In addition to looking sharp, it may have had its steering improved.
However, if in the end, the steering still bothers you, I dunno... Steering feel is very important to me, personally. I think I'd re-consider the Bimmer in that case.