Is this right or wrong? (Flute)?

The breathiness you describe is a common issue with young players. Over time, if you work on it, your tone will become more focused and the airiness will subside. The fact that you are listening to recordings of professionals and recognizing the airiness in your own tone is a good first step.

It's best to work with a flute teacher when trying to develop a good tone. If you're taking lessons, talk to your teacher about it. If you're not taking lessons, consider starting. If you choose to work on your own, then I'd suggest investing in a good tone book. Trevor Wye's Practice Book volume 1 is dedicated to tone development. Work on the exercises regularly and you should start to see progress pretty quickly. Consider investing in the Trevor Wye Omnibus edition which includes all five of his flute practice books.

Good luck.

Either you've got pretty bad asthma or you're wasting breath.

Try practicing in a mirror. Pay attention to the condensation that forms on the opposite side of the embouchure hole. It should be a very narrow line perfectly centered on the hole. If it's not, you need to adjust your embouchure.