Piezo's are cheap, like 2-3$. It should have a resistor in front of it, like another 1-2$. If it's hooked up to an adjustable l-pad (attenuator), it should have an 8ohm resistor across the terminals, assuming an 8ohm l-pad. Basically another 1-2$ resistor and l-pad's are about 10$ last I checked. Basically saying, you could replace the whole works and probably have change out of a 20....well, with shipping maybe no change but you get the idea.
Piezo's don't have a voice coil, they work off of a crystal. Testing resistance doesn't do much good. Remove the piezo, less resistors and all that so it's just the tweet. Hook it up to a radio tuned in between stations so it's static, turn the volume up just a little. If it makes noise, it's good, if it doesn't, it's not.
Typical piezo...
Goldwood GT-1005 Wide Dispersion Piezo Tweeter 270-011
Piezo mounted on a bigger horn, loads lower to meet where a typical bass speaker starts to roll off in the highs. May not be necessary with 8's, depending on how their voiced. With a Henry, probably not....
Goldwood 3" x 7" Wide Dispersion Piezo Horn Mid/Tweeter 280-062