I live in a very hilly city where the council have adopted a very different policy. Cyclists are allowed on the pavement. I've never been a big fan of cycling on the pavement but can see benefits. The roads are not wide enough for a cycle lane. You are not going fast enough to be a nuisance. When you are struggling you do not wobble into passing cars.
It would have been interesting to see what Poole council would have thought about this option.