Yes, that is correct, and it has been true for a long time (EASA has just changed some of the detail around the edges, it was much the same with JAR licences).
There are a few specific cases where getting an FAA licence first and then converting to EASA makes sense, but generally if you want to fly in Europe then going straight for an EASA licence is a better option.
It al really depends on whether the job you are aiming for requires an FAA licence or an EASA licence, but if you want to work in Europe the opportunities to work using an FAA licence are shrinking all the time.