The reality is this, online education is not what it used to be. Many individuals who would never have considered online education are now changing their perception as it becomes more acceptable. Although I've never attended APU, they are considered a very good online university. Granted they are not an ivy league university, but they are no less creditable than your run of the mill state college.
Earning an online degree requires more maturity, dedication, and time management than most B&M universities with more of a traditional structure where students are forced to attend class or they fail. This discipline could be very adventitious and transition well into law school. Take into consideration that in some law related circles, where you went to school really matters; but that pertains to where you went to law school and not where you went for undergraduate.