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This is kind of what I'm imagining.
The budget version would just be ply to minimise the angle of incline from concrete to boards and then a single sheet of (nice if it exists?) lino-type stuff after we rip out the units.
I basically want a durable, easy to clean floor. Karndean or something else would be first choice but if it costs a fortune to even prep the floor or if it's not something I'd be capable of myself then I may go with budget approach.
Not surprised you've struggled to get any interest in that. It will take a lot of whatever material you use to achieve it.
That said, I had to replace an innovative approach towards this problem recently and the guy had used multiple sheets of hardboard and gradually reduced (faded) them to create an even slope from a doorway for a wood floor to be fitted over.