Topic: Relations Extensions don't affect Assignment rewards.
Checked this out in Telesis - daily DFI H5 assignment was offering 275 000 nic reward.
Updated Relations->Industrial Specialization Extension one level (+2% to nic and rep).
'Each level of this extension raises the amount of reward money and relation increase for successfully completed industry assignments by an additional 2%. Also, the extension will reduce the rate of relation decline towards any corporation by the same ratio per level.'
Checked the assignment again - reward still showed as 275 000 nic
This was also true for all other industrial assignments I have access to.