I haven't seen any write ups on TSXs with H&Rs. But they don't feature any damper adjustment, so there's no tuning beyond height adjustment. They do use progressive rate springs, but the rates are still high, so they will be stiff.
All of the coilovers you mentioned are probably developed for the Accord platform in general, and will fit a variety of cars, from 4 cyl Accords all the way up to V6 TLs. So, they probably don't go through a lot of testing with the TSX specifically; it would up to you (or your installer) to tune them to work with your car. This would involve selecting the right combination of sway bars as well as setting up each corner with the correct height and rebound settings.
You can create a wondefully balanced, great handling vehicle with the right setup, but don't kid yourself into thinking that you can crank back on the damper adjustment and get a supple ride. Coilovers can drop the car 2+", so you're left with less than an 1"of suspension travel. So, the spring rates need to be off the charts to keep from bottoming out.
There is a difference, though, between the type of ride you get with coilovers and plain old lowering springs. Lowerings springs on stock struts will be bouncy and stiff, and get worse as the struts fail. Coilovers will just be stiff; if they're bouncy, you should be able to dial back on the damper to help reduce that.