CDF is steel so may be more comfortable on long tours. It can take front and rear racks so would be good if carrying loads of stuff, especially now they've geared it nice and low. If you get a few sets of different tyres for it then it really shows its versatility. I use mine most of the time as a commuter, give it snow tyres in winter and occasionally take it light off roading down the park or the easy bits of the TPT. It's great for the odd sportive but it is not a fast road bike.
Boardman is aluminium with carbon fork so may be a bit of a harsher ride but lighter and racier. Looks more like a proper cx to me and I can imagine it being better off road, but I don't have any experience of this bike, or of cx racing.
HTH