Nope. That's where it gets a little dicey. The website states the 5.9 Magnum used a weighted flexplate. That's only partly true. In 1996, when they went to the symmetrical bolt pattern, THAT'S WHEN they started putting the weight on the flexplate. Earlier models still used weight on the torque converter, okay? Seems easy enough, but you can't just use a non-lockup balanced converter for the 360LA, because the Magnum used a few grams less weight that the 360LA. And since the 360 Magnum was never paired with a non-lockup A518, you begin to feel like you're doing the tire test on an obstacle course. Do-able, as long as you get the details right.
Keep in mind, Chrysler uses the newer symmetrical setup on all pre-'96 models on warranty work. As long as the later flexplate AND matching converter are used as a pair, it retrofits to the earlier models, so the question is this: Does your engine source supply all versions with the newer flexplate, or not? Chances are, they're using the newer weighted, symmetrical flexplate. You need to know this before ordering the converter.
On the TCI, not many details there (why does it specify 67-81?), but I imagine you'd need to specify your balance requirements when ordering, so thats a good thing. Yeah, for street duty, 2400rpm is a really solid number to work with on the converter. Even my 318LA-powered Shelby Dakota with 3.90 gears had a factory 2,000rpm stall (if it would've had a 318 Magnum, 2400 would've been awesome), so a 360 Magnum would really like that stall number. Back when the 727 was all there was, 2400rpm was the best overall setup. B&M Holeshot was the hot snot, and it stalled around 2400. Any good street cam, from the stock 360 Magnum to RV grinds, all the way to lumpy Extreme Energy (400hp at 6,000rpm) grinds from CompCams (for example) will work well with that stall speed. 2400rpm stall lets the engine get into the torque curve before really clamping down, and that's what you want. You see newer setups with 2600-3000 rpm stall, but they have a lockup function....basically the best of both worlds, but on your setup, 2400 is about the best you can choose. You won't be disappointed.