You can certainly ask, but since the reservation was not made thru MS using your points (or cash) you probably won't be identified as a member in the system and your room ID won't likely say "DVC Member" either.
'Members staying at any Disney Vacation ClubResort using their Membership (booked through Member Services) will not be charged the daily high-speed Internet access fee'
So , officially, you will not have free internet.
But this is the 'official' version. In real life, I do not know if , since you are a member, they will give it anyway...
While there have been exceptions, the technical answer is clearly no. Personally I disagree with the decision but I do understand it (same for the $95 fee for members) but it's still cheaper/better to get an exchange and pay the few extras than use your points.