His suicide has not been conclusively proven (as was probably his intention) so a news article about his personal effects isn’t really the right place to discuss the broader context.
Arguably, it's both now. He is both a legend to computer scientists and to folks in the LGBT community.
It also touches a nerve since in the past Turing's gayness is always whitewashed by the news. Why still do it? Especially when it was so important to who he was and specifically why we died.
Being gay is very important to most gay people. They don't become famous for that. He's famous for his science. The gay aspect of his life is an interesting interlude for us (not for him mind you).