Streaming is also bad for the planet, it needs a ton of servers which all need energy to run and produce emissions. I don't have figures to mind right now but it wasn't nothing. I'm not sure how it compares to distribution though.
That's less than an end users TV will utilize, and it's probably also less than a standalone DVD player requires.
It is likely still more efficient to stream than ship on DVDs (I wonder how much it changes with eg. USB flash drives, SD cards or other rewriteable media), but have upfront energy costs that are harder to estimate.