I know I've mentioned this on another thread, but one thing about the L.A. freeway system is that there is a big "disconnect" between the I-210 and the rest of the freeway system.
If you're starting on the 101 in Hollywood (my old neighborhood), you can get to probably any other part of L.A. County without significant backtracking completely on a freeway , but not the I-210 corridor (between 118 and I-605). To reach this Pasadena stretch of I-210, I would need to use surface streets to a) make the missing connection at the 101/134/170 interchange, b) make a connection to the 2 freeway via Alvarado Street, c) make a connection from 110 to the 210 freeway, d) fill in the 710 gap via Fremont Ave. In short, a breezewood is necessary.
So at least, if the 110 connected to the 134/210 interchange, from Hollywood, I (and other car drivers) could reach the whole Pasadena-Arcadia-Monrovia stretch of the 210 without backtracking or using surface streets.
* This wasn't a hypothetical for me. I grew up in the Hollywood area, where the closest freeway point to my parent's house was the 101 at Highland. My wife's grandmother lived in Arcadia, not far from I-210 at Santa Anita. The question is how to get between the two points? Well, I would drive a stretch on the 101 freeway, get off using one of the four methods above, and continue on the 210 to Santa Anita. It's terrible that there is no all-freeway way to get from one point to the other without significant backtracking, but it's true.