So by your definitely only 'investment bankers' are bankers. I am willing to bet most of those guys would be better labeled with the 'ancient' stock broker/trader title.
This confirms that you're very much out of the loop. Yes, "banker" refers to investment banker, much as it had for more than the last decade. No one gives a shit about tellers or whoever else you might call a banker. And no, bankers are not brokers and traders. Brokers and traders "broke into" the realm of "sales and trading". They do shit like flow or execution trading. Or if they're lucky they actually put on positions on behalf of whatever firm they were hired by. Regardless of whether they're in ibanking or trading, they make roughly the same amount starting out of undergrad (70-80k base, 10-15k signing, 40-60k bonus = ~150k).
Anyway kids on the trading side get way better hours. I'd rather be there than in banking any day so I don't know why you say it as if being a broker/trader is worse lol.
Edit PS: Since you're out of the loop and probably don't know this, in case you're curious.. bankers facilitate the capital markets. They work on "deals" like IPOs, secondary offerings, mergers and acquisitions, and other capital market functions that might require financial expertise. They do modeling, pitch book preparation and presentations, and connect buyers and sellers for various investments in capital market related functions. It's a client driven, bitch work heavy industry. Kids at "target" schools drool about it like dogs at a bbq..