Just curious? If your child was invited on a play date where the kids were going to be picked up from school, would you ask the parent for a copy of their insurance and driving record? Maybe run a quick CORI check on them too?
Also, just because you know a parent well, it doesn’t mean you know how they drive. I have two close friends who are great moms, wonderful people, but sometimes I fear for my life when I drive with them. One loves to speed and the other one is just a bad driver. I usually just offer to drive when we go out, especially when the kids are coming.
My kids would not be going on a play date with parents that I hadn't met, and wouldn't be driven by those parents unless I knew them really well. I'm not sure what a CORI check is. I wouldn't be doing a background check or physically verifying license and insurance. The first time I allowed them to ride with a friend's parents after getting to know them, I might simply ask if they have a valid license, insurance, reliable vehicle, etc. Just some basic questions to gauge how they respond.
I completely agree with you on knowing a person well not necessarily meaning you know how they drive or that they are a good driver. You never can tell in advance if some other driver is going to be an idiot and cause a wreck with the vehicle you/your kid, etc is in. I can't prevent everything, but the better you know someone, the better you can guage how serious they are about safety, following rules, etc. You can get an idea if they are the kind of person who gets stressed and overwhelmed easily when their own kids bicker, which might make it more difficult for them driving even more kids around. Everything is a judgement call and a person's character is often the best judge of how they might react in various situations. We had a neighbor a few years ago and our kids played together. They had fun together, but I never let her go over there alone and I absolutely would never have allowed her to drive my kids. Why? She always had a drink in her hand, no matter the time of day, and would often sneak behind the house to smoke pot. She didn't do that one in front of the kids and was great with them, but I wasn't comfortable with her watching them alone and there was no way she was going to drive them around.
Another situation- After my hysterectomy when my son was 3 months old and DD was in kindergarten, I wasn't able to drive. DH worked and couldn't drive her to school. My brother paid a friend of his (who I didn't know at the time) to drive her to school. I didn't know anything about her, but my brother assured me that she'd driven his kids around and he'd been with her in a vehicle multiple times and that he felt she was a safe driver. She met with me, offered up her license and insurance without asking, described the safety features of her vehicle and her driving record with me (again, I didn't ask, she offered the info), and made sure that DD was comfortable with her before she ever drove her.
I can't control everything, but I have to be comfortable with the decisions I make, knowing that I did try to get as much info as possible in regards to my kids' safety.