AC power transformers are designed to be cost-effective to the manufacturer, meaning that they minimize the material cost, iron and copper in particular. The number of turns in the primary is minimum, which pushes the peak core magnetization field close to 1.5 tesla for the maximum peak (not RMS) primary voltage. This peak AC excitation is proportional to the peak input voltage divided by the primary inductance. The only way to reduce this peak excitation is to reduce the input voltage. A DC current will produce a DC offset magnetization in the core and push the peak AC + DC magnetization into a very non-linear magnetization, unless the AC excitation voltage is reduced. In short, for power transformers, there should be no DC current on the input. Power transformers designed for rectification, full wave bridge or full wave center tap, have no average DC current in the secondary, but a half wave rectifiier secondary will, and this could also bias the magnetization, but the manufacturer has probably taken this into account.