I did recovery part time for 17 years. It doesn't seem to matter which company you use, you get good and bad recovery men everywhere. I had cause to call recovery myself one time. Kawasaki ZX10 gearbox sprocket came off at over 120mph. Believe it or not there was no harm done.
The young fellow who came out with a lorry didn't have a clue. I told him to get out of my way then loaded it myself then told him to call into his yard on the way past so as to get a couple more straps to finish the job properly before the long drive to my home.
When I had finished off loading my bike he looked at me it was obvious he expected a tip. The only tip I gave him was to learn his job before leaving the yard again. Plonker and yes, I did report this to the recovery company. If I had left him to it, he would definitely have dropped my bike.
He worked for Greenflag. I did hundreds of Greenflag jobs and for most other companies too, even the AA one summer when they couldn't keep up, lots of motorbikes too and never scratched one.
Whoever recovers your bike I suggest you supervise the work.