Pretty much...it should spin freely, without any sound, although sometimes you will hear it just lightly touching the brake pads. You can sometimes detect a grumbly feeling, rather than a sound if you hold your hand on the wheel as you rotate it. Any wriggle play, as you've mentioned, is a good indicator.
Sometimes it happens that the bearings are merely loose and removal, repacking with the correct grease and refitting to the correct torque can cure the problem, but I would rather replace them both to be sure. I've not long cured the same problem on my wifes car....sound totally disappeared. Cost me about 30 pounds and an hours work.
Hope that helps you.