They tell you that kit is for a Cooper S.
I have never found a ball in an original S motor. (but it may be a competition part).
As said the pressure is too high unless you cut the spring by a coil or so.
A bigger problem is the spring bends and can flick the ball sideways off the seat. A fix I used is to put a bit of 5/16" steel rod 40mm long inside the spring.
At the end of the day though, all the ball does is give you a bit more pressure at idle, because it seals better on the seat.
The plunger is more reliable.
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DrMini- 1970 wasaMatic 1360, Mk1S crank, 86.6HP (ATW) =~125 @ crank, 45 Dellorto (38 chokes), RE282 sprint cam, 1.5 rockers, 11.0:1 C/R.
