All those tyres you've listed are 60D. (60 mm diameter) So those 'in the know' are not -
in the know....
Type A is a soft slick - mainly for outdoor
M Grip is 'soft' treaded tyre
S Grip is a 'medium' treaded tyre
the standard kit tyres are the hardest of all.
Most other companies Mini tires are around 55 mm diameter.
I don't use the Tamiya tyres all that often. But on carpet I run Kit - front/S or M Grip rear. Or S grip front/M grip rear.
And I only ever use the 53255 inserts.
Messing around with different inserts is confusing and difficult. I stick to the same inserts all the time and let the tires be the thing that makes the difference.