Pat, I'm glad to hear your trip to LA included Hillcrest and you highlighted many of my favorite holes on the course. I too live close by, but have only played it once. It was this year with a pair of GCAers!
I picked up on the same scent you were with regards to Cal Club. 4 at HCC and 6 at Cal Club have the same aura with the skyline green and actual skyline behind. They both also have these rather large hills you traverse with what I call 'modern' greens. Their internal contours are good to great, but I'm left wanting something a little more unique. There's a combination of slope, bowls, and general audacity to other golden age greens around town that I'm missing here. Add in my beloved Rustic Canyon and you can see my preference for wild greens. I thought the course could be played plenty long and it hosted US Open Sectionals this year.
The maintenance is PLUSH, the amenities are top tier, and I was very pleasantly surprised with the walk in the park factor. Holes like 2, 4, 5, 7, 8, 12, 13 are all memorable.
I'd put Hillcrest near the bottom of the 2nd tier of LA courses or at the tippy top of the 3rd tier. I have it below Bel-Air and Wilshire, but above Brentwood and El Caballero. I have yet to play Lakeside, but those who's opinions I respect would rate Lakeside higher. They both are presented very similarly!