Exactly.
If you break down the composition of the Gorkha regiments, they are constituted entirely of Gurung, Magar, Limbu and Rai (other surnames, Pun, for instance, are from sub-castes of these). Most Limbus and Rais live in India, and are part of a larger grouping that extends into eastern Nepal.
The British deliberately kept khas Nepalis out of the Gorkha regiments, and, of course, they could never, never, never be officers (even today, they disparage Chhetris and Thakurs). The Indian Army has no such issues and there are a large number of Gorkha origin officers in the Indian Army.