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I have confirmed that when I turn on wireless headphones I am unable to watch Amazon Video on Samsung Smart TV. I have this Internet Package:Cox High Speed Internet Premier, DAR3402 Modem (used also for digital phone). Speed Test showed 175 mbs download and nearly 11 mbps upload. I see there is an upgrade modem available but I am not interested in paying a monthly rental fee. What solutions can you suggest?
Does your wifi have 5ghz band? If so switch the smart tv to use the 5GHz and see if that fixes it. It could be interfernce on the 2.4ghz band the headphones are on as well.