Forgot to update my situation.

The Fairmont Gold staff greatly and thoroughly explained the point calculation.
I had booked a golf & stay package and he pointed that the golf portion of the package charge was not eligible for points.

It wasn't my first time staying at a Fairmont with golf package and never had those payments excluded.
The golf couse not being Fairmont owned made a difference but as it was not mentioned anywhere in the booking process or the package offer page, I never thought it would work differently.

The Gold staff however made an exemption of awarding points for the valet parking charges, to help me achieve the next status level.
I understand parking fee eligibility varies by hotel.
At this particular location, it was ineligible because it was operated by a 3rd party (although it is available exclusively to the hotel guests and every staff is wearing Fairmont name tag so I had no idea it was a 3rd party service).

All in all, the Gold staff was amazingly helpful and courteous with both the explanations and kind gesture with the extra points. I am very satisfied with the after-stay service.