Myth: Hindus worship cows. (or snakes, or rats, or any other animal)
We worship Giod and gods. Not much else.
The fact of the matter is we don't. We revere life, and the cow is particularly set apart due to that, because it's so useful to society, providing milk, cheap labour, and more. It is a life giving creature.
Even of the 60% or so Hindus who do eat meat, very few of those would eat beef. I think the best analogy might be of a pet in the west. Westerners don't eat their pets; but they do treat them with dignity, and fun. Otherwise it's called animal abuse.
Cow is Mother ---Figuratively, literally and practically. Her protection is a prime purpose of Kshatrya dharma.
"NOT" Eating beef is Not about reverence ---IT'S ABOUT THE FANTASTICALLY BAD UGRA-KARMA !!!
Most Hindus in India are not properly educated nor properly well-read in the tenets of their own religion.
The westerners that believe in the OP's "Myths" are also not properly educated nor properly well-read about the tenets of their own religion...and/or not sincerely "seeking". Just Like Catholics living in Rome are not thought of as scholars all.
Inre: Castes and/or varna ---there is a huge omission on this topic.
The social system that "varna" [Divisions of Labor] is derived from is called: "varna-ashrama". "Varna-Ashrama Dharma"
The Duties of Varna+Ashrama. The Duties of the four Varna(s) + The Duties of the four Ashrama(s).
Krishna instituted The Duties of the varna+ashrama as the social system that works best.
Take note that "Varnashram" is a defacto status of society...it is NOT an imposition upon the social order.
The 4 Varnas naturally exist in Human society et al by default. All societies have the same four "Divisions of Labor":
1-Intelligensia
2-Administrative
3-Merchantile
4-Artisan
BUT so far no one has mentioned "the four Ashrama(s)"
Each of the four Ashrama(s) are expected [or are allowed; or encouraged to pursue; or is known as the ideal for a noble life for every person] to be followed...in the same way the Christian Sacraments are allotted to all walks of life.
"the four Ashrama(s)" are:
1-Brahmachari (studentship)
2-Householder life
3-retired
4-renounced asceticism
All 4 varnas will progress through all 4 ashrams ---thus this is a spiritual democratic social framework.
After all, all walks of life seek the same 4 perennial goals [even life after life until moksha]:
1-artha,
2-kama,
3-dharma,
4-moksha
This is the yogic purpose of "Varna-Ashrama Dharma" ---to elevate every soul according to their individual ability and propensity.