It was never in the NEC, because again, the NEC does not require anything with regard to control logic.
It WAS part of what were called the JIC standards (Joint Industrial Council), a consortium of mainly the Big 3 automakers and some other large industrials who came up with standards for making wiring diagrams so that people in different parts of the country could recognize them. That is where all of our symbols and procedures came from. The rule about the E-Stop being first in the circuit had to do with the rules saying that it had to take primary control away from everything else, so if it was always the first device, you would have to work hard at screwing up and connecting another control device around it.
But the JIC no longer exists, it was kind of absorbed into NEMA standards and then parts that were more critical, became what is called "NFPA 79", the Electrical Standard for Industrial Machinery. Not all of the old JIC conventions were carried through however, and that was one of them that is no longer there. But there are rules, so get a copy of it and read section 9.2.5.4 for all the rules on E-stops, if you think it applies to your machine.
Chapter 1 Administration
1.1 Scope.
1.1.1 The provisions of this standard shall apply to the
electrical/electronic equipment, apparatus, or systems of industrial
machines operating from a nominal voltage of 600
volts or less, and commencing at the point of connection of
the supply to the electrical equipment of the machine.
...
1.3.2 This standard shall not apply to the following:
(1) Fixed or portable tools judged under the requirements of
a testing laboratory acceptable to the authority having jurisdiction
(2) Machines used in dwelling units
In other words, if your installation is not "industrial", it may not apply. If your machinery has an overall listing by a 3rd party, such as UL, then you don't need to worry about it. If it's for residential use, you don't need to worry about it.