It all depends on your requirements that which type of printing works well for you. Premium quality printing is perfect for those who want something on a budget and need printouts in smaller quantities, especially in online printing. So, in this case, digital printing should be the go-to choice.
On the other hand, litho printing is for those established brands which need printouts in bulk and of high quality. They are always in need of leaflet or brochure printing in large amounts. So for them, litho printing will be a more affordable option. Moreover, if you want some particular colors at a particular spot, then it is better to choose Litho Printing.
So, in a nutshell, it is completely dependent on your printing requirements that which printing you should choose.