I've never been to WDW in February so it's hard for me to speculate on your time of year. If your dates fall within "Presidents Week", then I would expect a lot of families.
We were at the BC last August and it was the pool area that was crowded with families (not surprisingly!); the lobby seemed fine; our floor was very quiet (5th floor, concierge -- not sure if that made a difference).
We were at WDW this past weekend for a pre-Christmas visit and scheduled a Sunday breakfast at Cape May. The lobby was an absolute mob scene! Lots of families with kids as you would expect in a location that has a character breakfast. The pool area was quiet though as it was unseasonably chilly. In all fairness, we visited the BWI to see the Christmas decorations that day and the lobby there too was bustling! It seems that early December is no longer "the quiet time of year"!