They still work perfectly... except for a regular pop of noise every few seconds that would intermittently show up, that scaled with the volume setting.
It turned out, their portable phone (read: landline with short-distance wireless RF handset) would ping from the base station to the handset, if it were off the cradle, which was being picked up by the unshielded line-level audio cable and amplified.
Moved the base station further from the cable, pop disappeared.