A couple of things, a camera isn’t the only expensive thing in Europe, it would easily cost more than $1600 to fly to the us and back not counting a visa and hotel etc. The exchange rate is nowadays horrible against the dollar, being 50% higher than ten years ago. Plus you have to take time off work and lose money. On your arrival back you should go though customs with the camera and pay the tax on the US price anyway, can’t just bring it in. There are also rules on how much value in goods you can bring after a short and a longer trip. We always have a 5 year warranty here, if I buy from the US it is 1 year. And then later selling it used, you loose at least 10% extra if it’s not bought locally.
So, yeah, we usually buy in Europe unless it’s accessories.