Yes, intermediate skis sound like a great fit for where you are right now. Intermediate skis are designed for riders who have the basics down and are working on carving technique while starting to venture beyond groomed runs. They feature a moderate flex and forgiving geometry that makes turn initiation smooth without being overly demanding.
The real advantage of intermediate skis is the balance they strike. They're forgiving enough that you won't get exhausted or frustrated, but they have enough performance capability that you can grow into them as your skills improve. This means you likely won't outgrow them in a single season.
One common mistake is jumping straight to advanced or expert skis because you ski aggressively or want to challenge yourself. But if your technique isn't quite there yet, stiffer skis will actually hold you back—they require more force and precision to control, leading to fatigue and sloppy turns. Be honest about where your skills are today, not where you want them to be.