Word hind is a Turkic term. It means people living to the east of sindh(Indus) i.e on the Gangaetic Planes. Stan simple means land. So hindustan means land of hindus. Hindustani means dweller of Hindustan.
Hindu Kingdoms on the Map shown by Mahazona have two major groups marathi and odia. Dravidians are the people residing india before the Harappan Area was colonized by Aryan People. They were pushed to southern india. Instead of showing India as some sultanate people will be happy to see more Indian Civilization. Since the sultanates were mostly turkic then persian then mongolians. They are seen as invaders rather than rulers by Indians.
In the South Cholas(hindu) then Vijayanagar(hindu) Empire(both Tamil Speaking) dominated.
Other major dravidians like malayalis, telugu remained mostly peaceful.
In the East non actually dominated. Bengali(hindu+muslim) were subject to repeated sultanates and nawabs with an identity crisis until recently their population boomed in British era. Odia(hindu) one of the classical languages, served as the basis of Bengali(hindu+muslim) Ahom(hindu+buddhist) Sinhali(buddhist) and other Eastern languages. Though they were mostly defenders and didn't expand much.(Odia/Bengali)
On the western deccan areas, the chalukyas(hindus) had a great empire with Kannada(dravidian language). They were replaced by Deccan Sultanates with Persian ethnicity. Then invaded by Mughals. Finally reunited by Marathas(hindus) under Shivaji.(Kannad/Marathi/Dakhini)
The Rajputs ruled the Rajputana area, modern day Rajasthan. They were initially Hindu but many of them converted to islam to ally with sultanates.
Only Rajputs used Camels, that too in very limited cases, having Imperial Camels, and huge camel bonuses is simply weird for Indians. (Rajasthani/Hindi)
Sindh/Gujarat Served as the gateway of Islam in India, most invaders settled there whenever they were expelled out of most of India. Though they also had significant hindu populace. (Sindhi/Urdu)
Punjab was united by Sikh Rajputs who fought repeatedly against the Mughaliyah Saltanats. (Punjabi)
Nepal area remained relatively peaceful with well known gurkhaas their army they mostly served as mercenaries.
Kashmir had a large numer of muslim populace but was ruler by hindu rulers. (Urdu/Kashmiri)
Afghans reapeatedly fought the delhi and mughaliyah sultanates. (Afghani)
Delhite would be an odd term. It is a term to refer to a person living in delhi. Delhi was first made capital by the Rajputs, chauhan dynasty to be specific. Then the turkic, persian and mamluk(saracen) Sultanates replaced them and made it their capital. Mughals tried to shift some concentration from delhi to other cities like agra but didn't do much. While calling Indians delhite may sound logical for medieval era north india since their was a contest to capture it by many but still it sounds odd to name a civilization on a city.
PS
By the way the map shown by mahazona is bit incorrect, some kingdoms are misplaced. For example Assam doesn't touch sea. They are bound by mountains from all sides. Garo khasi on south, himalayas on north. Hence their name Assam(Not flat). They were better known as Ahoms as well.
You should search for other medieval india maps.
[This message has been edited by Omkar (edited 02-15-2019 @ 07:46 AM).]