They're not a national company, but not a one man band either. It's https://www.swconcretepumping.co.uk/. Their managing director still answers the phone a lot, so I'd say they're not a massive company!
They've never mentioned a minimum price, but that being said, I had 1m3 off for them for another floor last year, and that was getting close to £900, so there's some form of volume discount going on there. You get charged for how much wasted space there is in the truck apparently.