Yes, and at the same time a set of wood blocks can be quite loud, as can even a set of drum sticks. And they make instruments out of metal too- a dobro is a good example.
The point is that wood is not **inherently** non-resonant. If its going to have non-resonant properties, it will have to be treated, just like metal has to be treated. Anyone who tells you otherwise is pulling your leg.
I would think a further issue of wood has to do with dimensional stability, especially with respect to humidity. I know you can seal wood to a certain degree, but IME humidity will still seems to find ways to affect it. Anyone who plays an instrument or dealt with a sticky door has experienced that.
Although most metals would seem to have greater resonant properties, the big reason they get used in an application like this is that the properties are quantifiable. If you know at what frequency a particular structure will become resonant, it can be a fairly simple matter of damping it effectively by other means. We do this all the time with our preamp chassis- the front panel resonates at one frequency, the chassis at another, tightly coupled the two rob energy from each other and will not resonate. Empire did this with the platters of their 498, 598 and 698 models.
Wood is less quantifiable. Instrument makers are well-known for using a small hammer to strike a wood sample to see how it sounds. Same species, same forest, same glade, same tree and several cuts can all behave differently. I've built a number of flutes and experienced that as well