pre-TER when reliable information wasn't as available, agencies would often send gals out with a driver. He would show his ugly face implying you better not cause trouble.
In my early days, I had three encounters with divers, 2 went bad, and the 3rd wasn't all that great. One gal changed, after the initial payment into her jammies, yes pajamas, not lingerie. She was shocked when I asked if more was available, but then proceeded to quote me a price well above the arrival fee.
Now this was really stupid, I admit it!!! I called a gal who advertised in the local "gentleman's" newspaper. She arrived, transaction made, she strips to her underwear, looking good, right!!?! Then she announced that she was willing, but her agency wouldn't allow sexual contact, should would come back later, off the company clock for an extra fee. I say sorry, you already have all my cash. She says no problem, it can be taken out in trade. So stupid me hands over a camera, and some other goods in exchange (which she hands off to the driver who just happens to be outside the door) for her cell number. Of course the number didn't work, and I was screwed!!!
Some agencies still use drivers, but they are usually at the bottom of the barrel. Here is one advertising for new drivers. Call 610-967-9888. Unfortunately, you have to wait 10 minutes before you discover just what a scumbag this guy is.
As for you agency/indy question, I say read a lady's review and judge by them, not the business model she has chosen. Personally, I am more likely to see an independent, but I often have the number of a reliable agency with me, just in case. In my experience, "just in case" happens about 3% of the time.