I'm gonna stick my neck out and say the answer is definitely yes, you will find a correlation.
If you pay 300 for a girl from a reputable agency, it's highly unlikely that you'll get there and she will be someone completely different, she may however be 10 years older than you were lead to believe.
You're also more likely to find the services advertised are in fact, the services offered, and there aren't surprise extras.
In general you'll find if you're paying 150/100 and under the attitude is much more "I'll let you put it in my and wriggle around a bit" and if you're paying more you're going to get much more "we can play touchy feely, kiss me and lets have a good time" going on.
Girls 150/100 and under are also often seeing punters wall to wall, so the malaise can set in and encounters can become very mechanical.
That being said the gems are always the independent girls you find for cheap who are good and happen to like you!
If you're primarily concerned with avoiding scary situations, sticking to well known agencies is safe, but you can also stick to well researched girls. If you're looking to find that great value, or that real pornstar service, you're going to need to pull shift in the trenches fielding independents.
As others have mentioned your most important weapon is your willingness to walk away at a moments notice
Happy Hunting!