Non stick pan browning milk vs stainless steel
With all other settings being the same, following can possibly cause the milk stick to the bottom:


Pan is not suitable for induction hob 
According to Good Housekeeping Institute, the only suitable pans are ones 
made with a magnetic material in the base, such as cast iron or stainless 
steel. Pure aluminium or copper pans will not work on an induction hob unless 
the base is bonded with a magnetic metal.
Non-stick coating is too thin 
Non-stick coatings are applied to various types of cookware, from aluminium and 
steel to cast iron and stainless steel. If the coating is too thin, it can 
cause heat distribution problems causing food to stick and burn.
Bottom of the pan is thin 
Thin bottomed pans are also prone to food burning and sticking to the bottom. As you're providing the same amount of heat, it will transfer to the food quickly and cause it to burn at the bottom. As a general rule, heavy-bottom pans are best.