No, TNA retains copyright of the images, regardless of who did the scanning. They are obliged to provide the public with free access to the 1911 (and previous) censuses. Obviously it was most convenient for them to make them available via the scans made by FindMyPast. FindMyPast do have copyright on their own transcriptions and format, but not on the information itself.
But my point is that non-FindMyPast subscribers cannot be bound by FindMyPast conditions. In the same way, if someone who is doing, say, a one-place study collects copies of all the 1911 household schedules for that place at TNA, there is nothing to prevent them from offering look-ups to interested parties.