Afraid so
TD, there are emergencies, and then there are emergencies, to differentiate there are two distinct words to inform the world of your state, MAYDAY and PAN. The first is self evident, PAN calls take priority over every other calls on the radio except MAYDAY calls and should be used when someone is not in grave an imminent danger and does not require immediate assistance, but has an urgent situation. The urgent situation may be the result of degradation of aircraft systems , you spot a boat, vehicle or aircraft needing urgent assistance, you get lost or need navigation assistance, when you need to break rules to stay safe etc etc. In the civil world ICAO doesn't recognise the word "Emergency", cases of pilots using "Emergency" or other phrases other than "pan-pan" and "mayday" have caused confusion and errors in aircraft handling by ATC.
https://www.hkatc.gov.hk/HK_AIP/aic/AIC21-12.pdf