I really don't care about other's beliefs, and I have actually said that a few times around here. I find the whole thing to be silly: Atheism, theism, all of it, it is just a bunch of nonsense. What I care about is how people came to their conclusion; what are their actual thoughts (something your "short-hand" skips right over). When it comes to religion that is so much more important than what their -ism is.
Fair play, beliefs are ten a penny, especially religious beliefs that don't really require much evidence for people to believe them. However, beliefs inform our actions, so it is in all our interests to understand what people believe. It helps to explain their behaviour. I actually find the beliefs of the people from the Eastern religions to be more interesting and layered than the Abrahamic religions, where the faithful tend to regurgitate doctrinal and theological beliefs they have been sold as part of the overall "package". They tend to surprise me more, and make me think more. Conversation is a two way road whoever I talk to, I like to think so at least.
What I meant about 'short hand terms' is that it saves us time getting to the meat of the belief. If someone says they are a Hindu I know it is pointless discussing Jesus with them because they don't believe in Jesus, it puts me in the right ball park. If someone says they are a deist then I know I'm talking to someone with a vague notion about a deity that takes little interest in his creations. The conversation can take a lot longer without labels!
Too often people just look at the label and debate the label, and it is the reason I don't sport one, because I want people to talk to me and to not my labels.
Sure, ditto, but I don't mind saying I am an atheist and a secular humanist. It helps other people understand where I'm coming from. They sometimes misunderstand what my views are based on that very brief description, but that's fine, I can explain in greater detail as the conversation develops. I never make an assumption about a religious label, if a person says "I'm a Christian" all that tells me is that they follow Jesus, but they could be a JW, a Mormon, a Moonie, a Catholic etc. However, at least it saves me time talking to them about the Quran for example! The label is the gateway into a deeper conversation.