Probably of no consequence but in an early traslation of about 1920 part of your quoted text reads:-
-----From this, we conclude that a clock placed at the equator must be slower by a very small amount than a similarly constructed clock which is placed at the pole, all other conditions being identical.-----
The words "be slower" are used rather than "gone more slowly". The words "balance clock" do not appear. This may of course be due to the transators M.N. Saha and S.N. Bose.
I am not drawing any conclusions from this, it is just a point of interest.