That 7-course UC transfer eligibility pattern may not necessarily cover that much of UC GE requirements. For example, a STEM student could take two English courses, one other humanities or social studies course, and four or more math and science courses. But if s/he transfers to UCB L&S, s/he will probably need at least four more humanities or social science courses, and at least three more if s/he transfers to UCB CoE (although two of these need to be upper division, so UCB CoE transfers from CCs need a minimum of two after transfer).
Students who are not doing IGETC should check the GE requirements of the UCs that they are targeting in order to pick out-of-major courses that give the greatest possible GE coverage. For CSU, the GEs and IGETC closely resemble each other, so filling in IGETC categories will help for CSU GE.