This seems the perfect opportunity for the SC to shop around for an alternative lift maintenance company. The threat does seem overblown, and would be a credible excuse for breaking your existing contract. Get two or three more quotes for your lift maintenance, with the emergency phone upgrade included, and then ask your existing provider to match the best offer, or switch to a new provider, who will no-doubt help with the transition. (Our building recently changed across to Hamilton Lifts, who gave us a good deal and have given good service, so they might be included as one of the companies you might want to talk to.)