On the show Law and Order SVU, how different would the outcomes be if the victims were armed with a legal concealed carry weapon?

After finishing the Breaking Bad series I wanted something else to watch for 45 minutes while eating dinner or winding down before bed. I watch TV via Netflix and my Roku so there are no commercials and I can stop it and go back if I am interrupted.
I started watching Law and Order SVU since it is (supposedly) clever and loosely based on fact and actual cases. I have seen about 10–12 shows so far and am noticing a pattern. The perp is almost always a guy. The victim is almost always a female with an occasional child thrown in to round things out. In about half of the cases (60%?) the victim realizes she is in trouble and vainly tries to escape or fight back to no avail. The other half of the time (40%) the women are attacked before they can even think about it.
I started to wonder how would the outcome change if the victim was armed and trained. When the guy throws her down, or pushes her in the back of the car with locked doors she pulls a gun from her bra holster and shoots him. Case closed.
Every case seems to take 400 officers canvassing a neighborhood, laboratory personnel running scads of DNA tests, and their crack team flying to “Montana” because some relative knows a cousin who is left-handed, owns a credit card and was a sex offender 15 years ago. What does that investigation cost? Who funds that budget?
Just once I’d like to see one of the victims end it before it starts. But then show wouldn’t fill out 45 minutes and I’d have to resort to Nova.
Are these statistics close to the realistic? How much does a real investigation cost? Do potential victims ever fight back? .