I'm going to GUESS that since you chose "recovery", the installer assumed that you wanted to "recover to" the same version of the OS that is on your internal drive.
If you want 15.2 on an external drive (while leaving 14.7.2 on your INTERNAL drive), then I think you need to download the Sequoia installer "as an install app", put it into your applications folder, and run it from there. You should be offered the opportunity to change "the target", so that the new install goes onto the external drive.
Another way to do it:
Get a 32gb (or larger) USB flash drive.
Get "Mist" by downloading it from here:
Fixed a bug that resulted in macOS installers being created that were only ~500MB in size Thanks hronro, weegie247, gjoris, EAZYBLACK, tifredfr, clickoncentral, dordal and A00736470!
github.com
(download the dmg file)
Mist is a nifty (and free) app that will download the version of the OS you need AND create a bootable flash drive, all in one integrated process. I've used it and it works. Be patient, takes a little while.
Then, invoke "startup options" to boot from the flashdrive, and do your install that way (again, to the external).
Hmmm... one other thing...
You ARE using an SSD as the external boot drive, right?
Platter-based HDD's are just too slow to work on the latest versions of the OS...