Pairing Bluetooth headphones with two signal sources?

Question

Bluetooth

There are headphones from Xiaomi - Mi Bluetooth Headset (ears) and two computers spaced apart from each other with BT 4.0 adapters.
It is not possible to set up pairing with both computers so that each time after listening on one of the computers you do not have to re-pair your ears with another computer.
It happens like this.
At home I find and connect my ears to the computer. I listen to music.
Then at work I find and connect my ears to the computer. I'm listening.
At home on computer 1 I'm trying to connect to already paired ears - the connection is not established. You have to remove and reconnect them. After that, the ears no longer connect to the computer at work, they also need to be re-matched.
The instructions have a diagram for pairing the ears with two devices nearby.
You need to pair with one, then put it in stanby mode, after which the ears automatically go into pairing mode with a new device and you can connect the second one. At the end, take the first device out of stanby mode and connect it to your ears.
The question is how to connect such ears to spaced devices?

Answer 1

Apparently they have a multipair curve, I have Platronics switched between devices with a button.

Answer 2

It's strange if the instructions contain such a scenario, then in theory it should work with computers spaced apart in space ...
... provided that the battery is not dropped to "zero" along the way

Answer 3

replace with a normal headphone model.
The problem is the imperfection of the firmware of the headphones.