The thing with "logic level" is that they are normally not built with a digital input. They are analog, but designed so that you can manage to open them up suitably much with a low voltage.

That means that if the transistor is usable at 1.8V, it will also be usable (but work better) at 2.5V or 5V. If the transistor works well at 5V, it may not work with 3V - at least not at higher currents - because the lower voltage will not be enough to turn it on fully.

Many of the transistors may be at their optimum at 10V or more, but at least manage a constant on-resistance through the full current range at 5V or below. That is why it is so hard to supply just a single logic-level voltage in the descriptive text. Any caring designer should look at the specific diagram that shows the on-resistance for different voltages and at varying currents.

But "logic-level" is a question of how it behaves with a high VGS and also how it behaves with a low VGS, that you can both open the transistor and close it without the need for extended voltages.