First, I am not a UCSB or LMU fan .......but as background. I use to pay a ton of attention to high school recruiting but I don't have (or make) as much time and my interest has gradually diminished over time and especially with NIL.
UCSB and LMU are probably included because of the historical connections between the Oakland Soldiers AAU program and those schools. In fact, UCSB has brought in at least one 4 star Oakland Soldiers recruit directly (Amandou Sow) from high school and others via transfer from the Soldiers. LMU has brought in multiple people from that program and they are being coached by Stanley Johnson (previously asst at Marquette, ASU, Utah, Drake, CSUN). Also, these are "local schools" and recruits often will go to "open gyms" with their players. Thus, there is incentive to keep the local school on your list.
Now, UCSB"s recruiting success was predominantly before NIL so everything changes. I don't know if UCSB and LMU are willing to spend as much as the big boys, but I do know UCSB spent substantial money to keep Ajay Mitchell (Knick's 2nd round pick this year) and spent (wasted) money on Yohan Traore (freshmen year at Auburn, then UCSB and now SMU) last year.
Also, a 4 star player out of high school would might get 25-30 mins per game there as opposed to 15-20 mins per game in the Big East. If they succeed, then watch out transfer portal.