Assuming you have a free Brace with XI7s, you can brace for half damage and still shunt a damage off to a nearby shield (not a great use of your Redirect, but anything that keeps hits off the hull helps). With HTTs, you need to choose to either take full damage (ouch) but distribute it to shields or to take half damage but it's all going to the targeted hull zone. This has more synergy with the Overload Pulse due to the decision you need to make (favoring Brace by itself or every other defense token you can throw at the attack to optimize how well your tokens work).
In general, it's been posited (Steel Squadron had an article on it) that due to the nature of the decision required, HTTs are often better than XI7s once you're rolling large amounts of damage from large ships (I believe the cutoff was 5+) and preferably targeting other large ships, as they have more tokens they'd like to spend and likely have a means of ECMing their Brace token when necessary anyways. HTTs are also better when you can't reliably lock down the Brace because your dice suite doesn't have a lot of blue dice, so you're just pumping out raw damage and hoping for the best (like with an ISD, or perhaps the Scout MC30 without Home One).