Oversized Luggage on the Green car

I understand the rules about baggage between 160cm and 250cm and unfortunately mine falls into that category.
I've seen a lot of posts and even watched videos of people making reservations for over sized luggage, but only in the ordinary car.
We have paid for the upgrade into the Green car and understand there is a greater luggage allowance, as mentioned in the comparison.
Do we still need to make a oversized luggage seat reservation even in the green car?
More than happy to do so, would just like some clarification
Thanks