Wire all the way. Bluetooth is part of the noise most of up are trying to avoid. Why would you want that to be the way your music is transmitted to your wonderfully new headphones? HiFiMAN is pitching Ananda BT. But they are in business to make money. Get the regular Anandas.
Wired vs. Wireless
Let's say you have a streamer/DAC device which can run on Wi-Fi or Ethernet. Considering sound quality alone, is there a difference between controlling the streamer from a phone/tablet vs. using an outboard music player via USB, AES, or coax? In either setup you are using the same DAC and its output, so the question is to what extent, if any, does the front end matter.