I think Ampol Retail (the parent company registered to Ampol Foodary) would have to request that to Woolworths as part of their partnership and also spend a bit of $ to program their POS systems to accept the Woolworths Group cards (assuming Ampol gets the all-clear from Woolworths in such a scenario) as Ampol Foodary use different Sales register systems to EG Australia. I'm sure the Woolworths Group gift cards on the list for the EG/Ampol Foodary integration, but probably way down in priority.
It's unlikely the non-EG independent Ampol franchisees (generally locations that are just branded Ampol (suburb/town name) and usually have a convenience partner such as Sunrise, Foodworks, P Express, etc will be aligning themselves with Ampol Retail anytime soon and will continue to remain independent of the company owned Ampol Foodary locations with their own discount systems.