Swordfish

We just finished a great meal at a Greek seafood restaurant (see also "ice cream") and I first ordered grilled swordfish (which was listed on the menu) and the waitress gave me a wierd look.

I asked "What?" and she said "You don't want it broiled?"
I asked Well is it really supposed to be broiled? and she said Oh yes.(which made me wonder why they had it grilled on the menu) Anyway,

It was OK when I then ordered it broiled, very fresh, but even tho it was covered with herbs it was rather tastless. So, I ask you:

Is is supposed to be broiled?