The online courses will look “good” for someone applying to a lawschool. While a law school can admit anyone regardless of background (something that lets not just yeshiva students, but others such as music majors, engineers, literature majors, etc., go to law school when their undergradutae studies don’t led to jobs), to be a success in law school (and law) requires good communication skills, familiarity with the social sciences and knowledge of history sufficient to understand the background of the legal system.
One assumes the student really likes the idea of practising law, and doesn’t think he is apply for a “pot of gold.” Only a handful of students (usually from elite universities, often with good family connections) end up in the six-figure incomes out of law schools, and a yeshiva student is very unlike to qualify. If one is clever and hard working, one can build a career in law. Given the costs of legal education, and the prospect of a yeshiva student not getting into an elite law school nor ending up with a high paying “associate” position at a “Big Law” firm – the student is advised to minimize costs (go to a cheap local law school that one can commute to).