The Nest Learning Thermostat is often installed in owner-occupied homes where comfort scheduling and energy monitoring are priorities. A "baseplate no power" error is commonly tied to power delivery rather than the display itself: loose baseplate contacts, wiring at terminals, a failing HVAC transformer, or missing/insufficient C-wire power.
Many "repairs" are actually electrical fixes-tightening terminals, cleaning contacts, replacing a transformer, or adding a C-wire solution-typically worthwhile because the thermostat can last many years. Repair is especially attractive if the display works reliably on another baseplate or the system powers intermittently.
Replace becomes the safer choice if the thermostat's internal relay/control board is failing (e.g., random cycling, inability to call for heat/cool) or if corrosion/heat damage is visible. If HVAC diagnostics are needed and costs climb past the threshold, replacement plus proper wiring correction often yields a more dependable setup.