Unlikely for KLM
I work as flight deck for KLM Cityhopper and on numerous occasions I have pointed out to the CEO that Bournemouth has a good catchment area.
However the last time they made contact with the airport the discussions were not good, (ground costs apparently) and so they went with a code share with FlyBE out of Southampton.
A big shame but i think there was not enough incentive to start operations....