I was also using a removable esim (from jmp.chat) and they did this to me three times. Each time it went like this:
> Me: Please send me a QR code to download my esim. My EID is XXXXXXXX
> Them: Thanks for providing your EID, please send me your IMEI (the first time this was just a plain message, the 2nd and 3rd time they sent me a link to a form to submit my IMEI to them)
> Me: <sends them my IMEI>
<at this point, the first two representatives initiated a transfer through their app and told me to wait 2 hours and then the transfer would finish. I told them whatever automatic transfer they just initiated will not work and they _need_ to send me the QR code.>
> Them: What is your e-mail address
> Me: My e-mail address is XXXXX@XXXX.XXXX
and then they'd send me a QR code. I'd then attempt to download it to my jmp.chat esim and I'd get an error that the EID was incorrect. Then, I'd try using the QR code to activate the built-in eSIM on the phone with the IMEI that I sent them, and it would work, proving that they were looking up the EID for the IMEI that I sent them rather than paying attention to the EID that I started the chat with.
The 4th and final time, I sent them my Librem 5's IMEI which had never been on T-Mobile and does not support eSIM. They told me that the phone was carrier locked, I assured them it wasn't and explicitly told them "it is important the QR code is for the EID I provided you. The past representatives have ignored that, leading to the error message <pasted the error from EasyLPAC's logs that was something like EID is incorrect>". THAT time they finally listened and sent a QR code for the correct EID, which let me download the eSIM to my jmp.chat card. At that point I was able to move the card across devices without issue.