Any attempt to be mindful is probably better than no attempt, but I'd say, Yes, there are better and worse ways.

One that took me some time to learn is to not put effort or striving into the activity. Especially with that most common form of mindfulness, breath meditation, it's very easy to be very effortful about it. And that's IMO not the path you want.

Someone probably said this about book reading in the past. Me personally, I find it’s about my quality of attention regardless if I am on the screen or not. But I can see that it is easy to confuse familiar things we get lost in and associate to mindlessness.

Imagine you were training for a marathon. There's a right way to do it and many wrong ways to do it. You could injure your body by training poorly.

Mindfulness is the same way. There are correct techniques and hundreds of very wrong ways to go about it.