My first question to your daughter–or to any prospective law school applicant–is why law school and why not an MBA program ?
As noted above by @bouders , certain undergraduate majors help one to prepare better for the LSAT. However, in the past few years and currently, many biglaw firms seek associates with significant exposure to certain areas of science and/or technology. This is not due to an increase in patent & trademark type work, but due to mergers and acquisitions activity among clients in these industries.
Because of the crippling cost of earning a law degree (high COA & loss of wages for almost 3 full years), the question of “why law” has taken on added significance.
As an aside, a common complaint inside biglaw firms is that associates do not know how to read & understand a balance sheet and other basic accounting work products.
One’s undergraduate major may be a consideration at two different stages of becoming an attorney: First, in the law school admissions process & Second, in the job hunting & hiring process.
With respect to the study of criminal justice, it is not well regarded in the law school admissions process; my impression is that the study of criminology is much more respected. But does it matter ? Probably not if one’s LSAT score & one’s undergraduate GPA are both above the medians for any particular targeted law school.
Nevertheless, if one is competing for admission with a person with equal stats, equal URM status, and otherwise similar, then an undergraduate degree in a more challenging major might be preferred.
The numbers matter primarily because law school deans are aware of the possible effect on their careers if that law school’s ranking rises or falls in the US News rankings. A secondary concern is to attract students with undergraduate majors sought by biglaw firms.