For a moment I was puzzled with both the Q & A here.
There is no connection between consent and assignment since these two areas are not linked together.
Assignment is by way of deed hence the term used, deed of assignment is meant for transaction involving property without title.
For example, A ( vendor ) enters into a sale & purchase agreement with B (purchaser).
For property without title, the passing of property and title is by way of assignment since the rights, title and interests on the property is assigned by way of a deed of assignment between A and B.
Stamping and adjudication assessment is carried out upon the original deed of assignment and this deed of assignment is usually retained by the purchaser's financier when the purchaser takes a loan from the financier.
Another deed of assignment between B and B's financier is imminent.
When title to the property is issued, then, the transfer between the vendor and purchaser will need to be carried out. All adjudication fees and stamping upon the deed of assignment will be produced to show no arrears before the transfer is effected.
As for State Authority consent, this is a condition upon the land.
This is where the State authority consent is required (especially for leasehold property) before the property can be put to dealing between the vendor and purchaser.
State consent does not meant state intervention. The names of the parties to the agreement will still be under the names of both the vendor and purchaser.
For a purchaser who have entered into a sale & purchase agreement with a vendor, the assessment form PDS15 will contain a 12 months period before the next available transaction. If the purchaser wishes to resell before the expiry of this 12 months period, sufficient good reason would be required.