While Crossrail has received Royal Assent it is unlikely that the proposed scheme will ever be built.
In tandem to the design put before the Select Committees of the Houses of Parliament a 'secret' plan with much reduced engineering (for example, smaller tunnels for tube-train sized rolling stock rather than the proposed 'mainline' sized carriages) has been prepared.
This 'value-managed' scheme is much more likely to be the one to be constructed.
Anyone fancy putting in an FOI request?