The largest top hat in photo came out of a non FAC gun but certainly does the rifle no favours sub 12.
For FAC. Air Arms use a different spring, still 230 mm in length. 21 mm OD but with 3.1 mm wire. even stiffer than their Mk2 spring.
I currently run their FAC spring in a HW80, after removing a number of coils.
Weight of top hat, if considered alone, will increase recoil. So will an increase in spring forces, if considered alone.
Less weight more spring or more weight less spring is the choice amongst other factors, including amount of pre load etc.
In a previous post I referred to a ,"Sweet Spot". In at least one gun, AA got it right.
AA also sold a different spring, higher spring factor, for their MK1/Mk2 production based on the shorter 81 mm stroke.
The fact they decided on a different, softer spring for the Mk3 suggests they gave some consideration to the matter.
I've yet to see a post claiming a Mk2 spring will improve a Mk3 on anything other than a short stroke conversion.
Having previously trod the path of replacing steel top hat and upgrading spring. In my case using a Titan 10 with 2.96 wire. I now recognise that AA have also done their testing and come close to getting it right.
Where the Mk2 stroke benefits over the Mk3 is the extended latch rod allows an extra 14 mm of space for the compressed spring, increasing longevity. Compared to HW 77/97 where original springs can be fully functional after 20 years, the Mk3 spring,especially in 177 with the extended top hat, has a shorter life span. I replace any that have shortened to less than 220 mm.
Don't bin your Mk3 springs. In a Tony Leach, 22 mm reduced cylinder conversion they will need cutting.