There's nothing to burn in on a solid state component.
You burn in headphones with pink noise to loosen the moving mechanism (depending on the type of headphone), which can come tight from the factory. That burn in brings the headphone into peak performance, as designed by the manufacturer. You are simply speeding the process of break-in. Perfectly fine to play your way into that peak performance, you just need a little patience.
The other component that can benefit from some burn in is a new tube. Tubes, in many cases, sound better as they age, and they sound better warm than cold in most cases. But tubes also have a life span, so you don't want to over-burn them. They need to cool as much as they need to warm. So they are trickier, and it's best to just play music through them to get them to their peak if you don't know what you're doing.
Transistors, IC chips, capacitors, diodes-- none of these components get better with age. If anything, they degrade and lose performance. So burn in is not needed.
Hope that helps.