Honorable Mention: Kent Bazemore
Kent Bazemore didn't make the cut for some rather obvious reasons. For starters, he's food on defense and that just doesn't align with Rockets coach Ime Udoka's vision.
Bazemore had stints with the Golden State Warriors and Los Angeles Lakers and disappointed in both stops. To be fair to Bazemore, the Lakers stunk up the joint altogether in 2021-22, so that's not entirely on him.
However, Bazemore averaged 27 percent on two-pointers, which is horrid. Bazemore's play has often been associated with forced shots, bone-headed mistakes, and again....subpar defense.
Now that all that is out of the way.
Bazemore is a vet, which Udoka has coveted for the young Rockets. And most importantly, Bazemore is a good 3-point shooter, which the Rockets need after ranking last in 3-point shooting in 2022-23.
Bazemore is a career 36 percent long-range shooter and made 41 percent of his triples with the Warriors in 2020-21 (on roughly 3 attempts). From a spacing standpoint, there's a case to be made for adding the 34-year-old Bazemore.