You left out the Maratha Light Infantry, headquartered in Belgaum, Karnataka which also draws some of its men from North Karnataka.[-- Redacted --]
The south Indian States - none of them are Unrepresented less than their quota. They are represented in Madras Regiment which is one of the Largest Regiment, Madras Engineers - many battalions, Regiment of Artillery = many regiments, Armoured Corps and Mechanised Infantry...
Indian Army has very good soldiers from all over South.
J&K has one of the largest representation via Jammu and Kashmir Rifles, Jammu and Kashmir Light Infantry, Ladakh Scouts with about 50 per cent Muslims.
Gujarat people are not interested but there are Gujraties in Grenadiers.
When you do not much. you should not be cocksure and start bullshitting.
There is little point to suggest that S.Indians dont get equal opportunities, the factvremaibs that thet have many different opportunities which may be the cause for reduced interest on joining the forces. Karnataka has quiet a few joining up but most of the are from N.Karnataka and few from the more prosperous south including Coorg which was a big recruiting ground earlier.
This is how it is the world over and India is no different. Actually, this is even true of the civil services where states like Maharashtra, Karnataka, Tamil Nadu dont send many IAS officers for central deputation as compared to the NE, UP and Bihar. Officers simply have no great incentive leaving these states even though these state cadres are drawn from all over the country.