Colombia is wonderful and Cartagena is super accessible and a great introduction to the historic Caribbean for newbies.
That said, as with all luxury properties in the developing world I try to be cognizant of how much higher priced they are versus "normal" hotels.
At a certain threshold in each place, the pricing becomes sort of obscene in the context of what locals make, what the employees could afford, etc. Similar with those $1000/night resorts in Thailand.
And it also makes you a mark the moment somebody becomes aware of where you're staying.
That said, it looks gorgeous, but I doubt I'd be willing to stay there. Stick to Four Seasons in resort islands and western cities, not in a working-class artist community (Getsemani) that has only gentrified in the last decade and where that nightly rate is a middle-class monthly income.