It takes nothing of the sort. eSIM is pretty much instant.
On Friday I received a temporary phone from Amazon so I could send mine to Music Magpie
The key thing is YOU MUST have your old phone available and active as EE send an SMS to your old SIM (old phone if it is an eSIM or any phone with the physical SIM in) to activate the new eSIM.
- Old phone - log in to EE app > Settings > Device and SIM > Replacement SIM > eSIM
- Choose that you are moving to a new device
- The eSIM QR code will be shown on screen
- On new device scan the QR code and add the eSIM (the phone number will show 00000000000)
- On the old phone click on activate SIM card, it will be there after you have scanned the QR code
- Wait for SMS to arrive and type in the number (autofill should have the number for you to select)
- Old device will lose signal and new device will gain signal
- Turn the line off and then on again and the phone number should update to your number
Mine took no more than 30 seconds to transfer across. It took longer for me to dig out the ejector tool, take the case off, remove the SIM and place in new device for the physical line I have on the device as well.