There are standards, but, it would seem, not ones required by law. For example:
Electrical characteristics of dynamic loudspeakers - Wikipedia, the free encyclopedia
Now, if you are right that there is no standard for nominal impedance, then specifying any nominal impedance is dishonest, since it is pretending to mean something when it does not.
Frankly, I would be happy if the above equation were required by law to be the way that nominal impedances were done, instead of, apparently, letting manufacturers make up anything they want.
As things are now, people have damaged amplifiers due to improper impedance matching because of the lies that some speaker companies tell about their speakers. If they told the truth, then when a robust amplifier is needed, the consumer would know. As it is now, unless a speaker is revięwed and measured, one will generally have no idea what the impedance characteristics are of the speakers one buys, and consequently one will have no idea of what is needed to drive them.
One of the examples I gave above about an honest company is one with very low impedance ratings for many of their speakers: Apogee. Some are as low as 1 ohm nominally. I am very happy that they told the truth, rather than selling low impedance speakers to people whose amplifiers are not up to the task. That is an example of a good company. Just imagine how many amplifiers people would destroy with such speakers if they lied and called them 8 ohms instead.
It would be completely wrong to blame amplifier manufacturers for the lies that many speaker companies tell. The amplifier manufacturers have no control over what the speaker companies say about their speakers, so it is ridiculous to blame them for that.