It is definitely way too well built to have been originally sold for $2 (the NRF 8001 costs more than $2 on its own...), which is in line with the dollar store buying surplus products and discounting them.
I'll admit that I didn't actually try to pair the device before opening it due to the lack of instructions and because I really really wanted to see how they were doing Bluetooth for $2. Reconnecting the battery now, I'm still unable to get it to pair, but that is probably because I don't know what button press combination I need. There were no instructions on the box and the website seems to be down.
Have you tried to get to an archived version of the website through the wayback machine?