Back in the day, Ciga Hotels had 3 hotels in Milan - Principe di Savoia, Excelsior Gallia and The Palace.
Principe di Savoia was seen as the high-end option, whilst The Palace was more of a business hotel and the Gallia was a long-stay all-suite property, considered at the time to be the lower-end option. All were clustered in the same square, within waling distance of each other.
When Ciga broke up, ITT Sheraton took over, then Starwood Luxury Collection, then Dorchester took over Principe di Savoia and the remaining two hotels in that square stayed with Starwood.
I agree that Excelsior Gallia is more of a good 4-star.