A watt is the amount of energy used. Look at it this way. 24/7 your power company feeds you 240V at your main panel. That’s a matter of "pressure." You are not billed per volt though, since with no current (all breakers off) there’s no power used.
You get billed when power (watts) are consumed, by turning on a light switch, oven or amplifier. :)
The 1w/1m (1 watt at 1 meter) measurement tries to measure how much power is consumed, how much you would be billed for to generate a certain dB.
The 2.83V/1m (2.83 volts input, measured at 1 meter) is how the speaker responds to the voltage pressure. If the speaker is 4 Ohms, this is 2 watts. If the speaker is 8 Ohms, 1 watt, and half a watt at 16 Ohms.
Since most speakers impedance can vary a great deal, and many of us use beefy amps the 2.83V/1m rating makes more sense. It tell us how loud it will be when you turn the volume a certain amount.
For tube users, knowing how loud per watt could be more important.

