I'm partly from India and part of the reason we don't see many Indian trans men is that Indian society continues to be profoundly misogynistic. "Women" that are actually trans men often don't get to express this desire in any way, shape or form, because that is not their purpose. Their purpose is to get married, have babies, cook and clean for the family, provide for the family, and that's it.
Especially if they're poor or lower caste. Opportunities for women have largely opened up in the last few decades, but this is usually only for upper class and/or upper caste women. For poor women and lower caste women, especially those who live in villages, education, financial freedom, freedom of choice in marriage, and many, many other basic human rights are inaccessible.
The people who might be out as trans men can't do so because they are born into patriarchal families that are often abusive. Then they get married, often not of their own accord, to cisgender men who are also abusive by virtue of an extremely patriarchal society. They cannot cut their hair short or wear men's clothes because this would be a disgrace to the family and the husband and they would be punished for it. This punishment could be physical abuse, rape, other sexual abuse, and much else.
It's not that there are "less" trans men in India. It's that the ones that exist very rarely have the freedom to explore these gendered desires because they are born into and locked in rigid gender roles where their job is often just to be a wife, a baby-maker, and a provider.
The ones that do try to come out are often locked away, physically or figuratively, and their gendered desires smothered, because that's firstly, not their purpose, secondly, perverted, and thirdly, a disgrace and a shame to the family, especially when "the family" can sometimes mean a tight-knit communal structure that, in a patriarchal society, breeds abuse. Either that, or they are thrown out or abandoned, and their name and history gets erased from the family, as with any hope of financial support.
I know several trans men in here because I volunteer with a queer support group, but the ratio of trans men, mascs, and AFAB nonbinary people to trans women and AMAB enbies is much, much lower, because those perceived as "women" here can't even think of exploring their gender. Not only is the gender itself is a prison, but the expectations and the violent subjugation that comes along with it make it impossible to even think of exploring gendered desires. Every single Indian trans man I know, with the exception of one (myself), has been raped or sexually abused as a result of their transness, and forcibly feminized by their families, by way of clothing, arranged marriage, household duties, etc., in some cases even being physically locked away and kept from the rest of society. It's just not an option for most of us.
It is materially easier to suffer as a woman than it is to be abandoned, raped, murdered, shamed, and smothered as a man.