Truthfully, I'm not much interested - for legal purposes - what "people talk about." It is what the law allows that applies in "the restroom" situation.
Can you show me any law anywhere - from the smallest town to the largest state - that lists "transsexuals" as a protected class?
News flash! Most states and municipalities have no laws regulating who can use which public bathrooms at all. The few that do are brand new, only sparked by the recent controversy, and at least a few are pro-transgender. (NYC recently passed just such a law.)
As to states that protect the civil rights of transgender individuals, the list currently includes:
California, Colorado, Connecticut, Delaware, Hawaii, Illinois, Iowa, Maine, Maryland, Massachusetts, Minnesota, Nevada, New Jersey, New Mexico, Oregon, Rhode Island, Vermont, Washington, and the District of Columbia.
Large cities include Atlanta, Austin, Boise, Buffalo, Cincinnati, Dallas, El Paso, Indianapolis, Kansas City, Louisville, Milwaukee, New Orleans, New York City, Philadelphia, Phoenix, Pittsburgh, and San Antonio.
https://www.aclu.org/know-your-rights/transgender-people-and-law
Or perhaps you'd just like to tell me what your conception of transsexual means. Hint: even most transactivists in the U.S. will allow that a male transsexual has, or wants to have, his testicles removed and his penis re-purposed into a nouveaux vagina. Less than 20% of male transgenders - by trans' own estimates - fit that criterion.
"Transsexual" is a largely outdated term, that roughly refers to people who actually want to or have taken physical steps to change their gender identity. The preferred term in most cases now is "transgender," which is an umbrella term.
There is also no indication whatsoever that the individual in this case is in any way transgender. In fact, it seems rather unlikely. And since neither he nor the police have clarified it yet, his motives are currently indecipherable.