Agreed. Profession names that acknowledge gender are falling out of style, at least in America, I think. It helps that most professions don't even acknowledge gender unless the term "man" or "men" is used. In that case, there is a businessman and a businesswoman. There is a gender neutral version, "businessperson", but it isn't as widely used. Personally I don't think it is necessary to differentiate the two, unless you're referring to a specific person. For example, it would make more sense to say "Carol is an assertive businesswoman." than "Carol is an assertive businessperson". A gender neutral term also simplifies things and includes everybody. Saying "Several businesspeople are outside" is easier to say and more concise than "Several businessmen and businesswoman (or businessmen and women) are outside".
When it comes to a waiter or a steward, I really do not think "waitress" or "stewardess" are necessary unless again you are referring to a specific person and their gender. In the general sense, men and women can be waiters and stewards, but should you be at a restaurant and your waitress passes by and you do not know her name, you're likely to say "Excuse me, waitress, could I have the check?"
There are several professions that don't cite gender, thankfully. I think it's great, as it doesn't show a bias towards one gender. For example, as I mentioned, for the longest time the idea of a businesswoman was laughable, which is unfortunate. At least terms like doctor, nurse, manager, etc. are not referring to a specific gender.
