Well it really depends on what definition of genocide you use. If genocide for you is the systematic killing of a certain group then perhaps not. However I don't find that definition that particularly useful bc it just points to the end result of these discriminatory laws.
If you use the border definition "Genocide is an internationally recognized crime where acts are committed with the intent to destroy, in whole or in part, a national, ethnic, racial, or religious group." It better highlights the complexity of genocide and how it comes to be.
I got that definition from here and it even has a list of specific actions that count as genocide.
I certainly agree that genocide doesn't have to be restricted to killing. China is genociding every non Han group by enforcing mandarin and banning local schooling. But LGBT people can be any race, religion, nationality, ethnicity, culture. It is not a genocide. It's horrible and backwards, but not genocide.
I find excluding LGBTQ people from a group of people which can be genocided awfully strange. Like sure unlike those groups LGBTQ people will always pop up so to speak so you can't eradicate us like you could with cluture or ethnicity but does it actually matter when talking about genocide?
What matters is the harm and the degree of harm done on to the group not which type of group it is.
While I am utterly against laws like this, "genocide" is too much.
What you are doing is just wiping of history of genocide done by different countries (mostly western), by using word for something that is much less than systematically killing millions and even hundreds of millions, just take this as an example: https://en.wikipedia.org/wiki/Genocide_of_indigenous_peoples and than decide which word you will use.