I have been on MSC Lirica but it was a cruise in the Caribbean. And will be doing another Lirica cruise next year.
On our cruise while there were a number of Americans and Canadians the majority of passengers were European.
On the formal night almost everyone did dress accordingly. On the other nights it was dress all over the place. I never saw anyone being told they could not come in the dining room ( one man even came in one night in shorts and what looked to me a white under shirt - not even a tank top in appearance) But how others dressed did not detere (sp) from the cruise.
The crew were all very nice.
I know this is not the ship or cruise you will be one but maybe this will be a bit of help for you.
Star Princess 2005, Sun Princess 2005
Caribbean Princess 2006, MSC Lirica 2006 , NCL Pearl 2007, Majesty of the Seas 2008, Carnival Destiny 2008, MSC Lirica 2009, Carnival Valor 2009,Carnival Legend 2010, Carnival Liberty 2010,Carnival Fantsay 2011,Carnival Valor 2012, MSC Poesia 2012, MSC Poesia 2013, Carnival Legend 2013, MSC DIVINA 2014, MSC Divina 2014, Carnival Liberty 2015, MSC Divina 2015, Carnival Ecstasy 2015, NCL Star 2016, Carnival Glory 2016, MSC Divina 2017