As long as the amplifier has enough power that it won’t be clipping into the 16 ohm load, it should work just fine, unless there is some other mis-match going on.
I have made speakers that are user-configurable as either a 4 ohm load or a 16 ohm load. As long as the amps weren’t pushed into clipping, to the best of my knowledge all of my customers who tried it both ways preferred the 16 ohm configuration. I have been told by multiple amplifier designers that distortion is lower into a high impedance load.
At least one amplifier designer, Ralph Karsten of Atma-Sphere, recommends high impedance speakers particularly for his lower-powered OTL (output transformer-less) amps, which unlike solid state amps actually make MORE power into a 16-ohm load. If you haven’t already, I suggest taking a look at his amps. (Disclaimer: I’m a dealer for Ralph, and have been making speakers with his amps specifically in mind for 14 years.)
Duke