Yeah, it's not like you just ask to have your position changed and ETL-HR does it on the spot.
When I asked ETL-HR to make me a GSA, they spoke to the GSTL, and the ETL-GE, and the GSTL spoke to several GSTM's to see if any of them had any reason I shouldn't be a made a GSA. Only after both GSTL and ETL-GE said yes did HR change it.
A lateral change probably doesn't require the actual team be spoken to such was happened in that scenario, but at the very least I'd expect them to still ask the SETL and ETL-SE before making a change from Checkout Advocate to Service Advocate for example.