Removing scholarships will change NOT ONE THING about Title IX requirements. Rulings have already been put forth to ensure that the total number of opportunities are factored in.
Not even the Republican Party has the will to make changes... even the incoming class. They don't like the thought of creating some political gender warfare, because they know they'll lose. Bank on it. Learn to deal.
Brigham Young men's soccer, playing in the almost semi-professional Premier Development League, I understand, is an exception. The trick in learning that lesson is to de-affiliate from the school (considered a club sport- and, yes, only students are eligible)... but I suspect that a widespread implementation will probably get "regulated into line" eventually.
North Dakota State College of Science, NJCAA, and bound by title IX like any college, has only 4 sports: football, volleyball, and men's/women's bball. I don't believe they offer scholorahips (does any NJCAA school?). And yet, that equates to around 100 male athletes and only 30 female athletes.
"Equal oppertunity" is a loose wording, obviously. What does that really come down to?
If scholarships are included then it means equal scholarships for both sides.
If scholarships aren't included then it only means you have to have an equal number of sports for both sides.