As
@Sandisw has pointed out in a different thread, this is not necessarily true. If hundreds of trust users can book at the same time as direct owners, even when they are limited in the number of points than can use together, the sheer number would make booking during high demand seasons more difficult. Without additional limitations, one can assume that the limited points booked through the trust would mostly be used in high demand places at high demand times (monorail resorts at Christmas, Epcot resorts during food&wine, etc.). So the number of points wouldn't change but all of the trust owners together are probably less likely to use BCV points in the middle of summer than current owners (of which some do exactly this).
The difficult question is: how will the trust enable access to its points. If it is first come, the above problem is likely.
Different mitigation strategies have been discussed here: only moving full units to the trust (with their allocated points), limiting the trust to booking 1/12 of its point at each resort each month,...