Would it stop me from travelling to Italy, probably not, everything has to be put in to context. We had opportunity to contain this virus a year ago, so now it's like once the horse has bolted.
News media stating 16 million Italians quarantined. Well if people know their population and geography, I'd have a guess over 10 million are in the area of Lombardy in Northern Italy, with it containing the City of Milan. We have to remember that the quarantine stretches over to Venice and just north of Bologna (Modena) - although it has taken in Rimini. Now once you have drawn that geographical line, put that into the context of the rest of the country. I've not heard Florence having been affected yet, if it has then you can probably draw a geographical line from Pisa on the west coast, straight across to Rimini on the east. The overall population of Italy will be over 60 million. So that's 44 million unaffected in reverse psychology! Basically it would be like us quaratining London - London Metropolitan Area 10-18 million (number of residents depends on the definition used).