I suspect the real answer to the question is like every other question in high end audio: it depends. It depends on the quality of your streamer, router, modem, interconnects and downstream equipment. For me the answer is no, I needed no special networking equipment. I have a flagship streamer that takes care of any upstream issues and completely isolates the bit stream it releases to my DAC. But, probably other folks with other streamers are more effected by the packets and physical connection, You can probably put a lot of money in the network side and get much better sound out of a less expensive streamer… or visa versa. The effect on cables will depend on the equipment on both side.
But one thing I have found for sure is streaming can perform as good or in many cases better than dedicated CD players and with the right equipment equal vinyl. How you get there will be different for everyone, but it is a very worthy pursuit.