GE's from a four year

Follow this advice at your peril.

Gee, you might say, could this 2nd category apply to me, a prospective ME applying to UCSD?

Well, UCSD Engineering has this to say

In other words not only does the IGETC page say don’t follow the plan if you need a lot of lower-division prep classes for your major, UCSD Engineering echoes this advice saying they really care about you having completed the prep classes.