While it somewhat varies by state or even region. When I was working in the collision repair industry (doing ADAS calibrations), I was in and out of 20+ body shops in the Hampton Roads are regularly over the course of 2 years. The company I worked for was along the east coast with our sister company more down in the gulf coast area.
G**** and S**** F*** are by far the worst insurance companies to deal with if you want your car fixed correctly. While ALL insurance companies will end up in law suits now and then, they're by far the worst.
I touched on "DRP" or Direct Repair Program relationships in this article here:
https://drive.google.com/file/d/1z8eThHyjZZxhwTATiKBmu8M2ERylfsay/view
Those two insurance companies are the easiest to get into a DRP with, because they are the largest and can promise say 25 cars a week guaranteed for their techs to work on. Problem is, they start squeezing estimates to use all non-OE parts, crappy Chinese aftermarket garbage parts, etc.
S**** F*** had a long-lasting lawsuit (3+ years) by trying to make a repair shop install a USED quarter panel (crumple zone, structural). There is a video in this article going over why this is impossible to do (correctly), yet they don't want to spend $7k more to do the proper repairs.
https://www.repairerdrivennews.com/...ues-state-farm-in-used-quarter-panel-dispute/
https://www.repairerdrivennews.com/...e-lawsuit-over-payment-for-new-quarter-panel/
If you have G**** or S**** F***, they will NOT pay for any kind of diagnostic scans to be done to even SEE if anything else is wrong with it depending on the manufacturers position statement... this is industry standard for nearly every other insurance company. It's part of the process. VW does NOT have an official position statement, and even when quoting it being required out of a service manual, they would deny scanning the vehicle because they didn't want to spend the $50 or whatever it was.
Had a REALLY funny one once though - one of those two wouldn't pay for a pre-scan (done after collision, but before collision repairs start)... and the airbag light never got scanned for. Car was in simple rear end accident. Nothing major, nothing structural. Afterwards, I scanned the car because the shop wanted to make sure it wasn't part of the accident (basically they agreed to pay me, a sublet vendor, even if the insurance company did not)... battery had died (or was disconnected) while in the shop so any evidence of mileage set was erased from freeze frame data. I notated that it couldn't be known one way or the other, but the DTC was for internal SRS module failure. In reality probably not related to the collision, but without the pre-scan I couldn't say with certainty. Customer complained repeatedly to the insurance company (as they should assuming it wasn't on before the accident), and it ended up costing them another $3k in module replacement/coding/programming/initialization/etc.
For more fun, go to
www.repairerdrivennews.com and use the "search" at the top to look for your insurance company.
Another good one to search for is "John Eagle Collision center vs S**** F***". The insurance company got off free because the insurer is not the "repair professional". But the insurance company is allowed to tell the body shop that "you don't need to weld the roof... just epoxy it" because "it's fine on other similar cars"... despite not being the Honda outlined repair procedure.

People die because of shitty insurance companies bullying repair shops to save a few bucks.
The biggest insurance companies are not posting record breaking profits because they repair your car correctly.
On the other hand USAA was excellent to deal with, and never had a single problem. They would require vehicles over X years old to be repaired with aftermarket non-structural body panels when available, BUT if the initial mockup proved they were unusable, they wouldn't squawk over just ordering OEM instead. Vs the others who would force the body shop to try 4 different shitty Chinese bumper covers that don't fit right until they find the one needle in a haystack that might look "okay enough" that the customer won't notice.
Get me drunk at a party and talking about how fucked up the collision industry is some time... I could go on for a LONG time. I've seen insurance adjusters trying to bribe body shop techs to pull out structural panels that are "replace only" per manufacturer repair procedures. They get compensated/upward promotion based on how much they
don't cost their company. It's fucking bad.
*I will add there are exceptions to everything above of course. But generally speaking, everything above was what went down 90% of the time at the shops I worked with.
edit: I am currently with Travelers. I use a company called Goosehead (
www.goosehead.com) to check regularly. I answer their questions and it cross shops everyone (except a few, USAA is one of them), and I pick one of the name brand carriers who aren't the two "big" ones above. I cross shop every year or so and sometimes switch, sometimes not. You don't save money by staying with the same company forever. Any weird "specific" coverages I just email my agent and she corrects it and sends new quotes. Same thing if I need to make a change to my policy like adding or selling a car, etc.