NO, this is not correct at least in my case. I have E21, E22 and E23 for me, wife and kid respectively.
The correct interpretation of the codes is:
E21=EB2, immigrant visas issued.
E26=EB2, status adjusted.
E22=spouses of EB2, imigrant visa issued.
E27, spouses of EB2, status adjusted.
E23=children of EB2, immigrant visas issued.
E28=children of Eb2, status adjusted.
E31= EB3, skilled workers, immigrant visas issued.
E32=EB3, with Bachelors degree, immigrant visas issued.
E36=EB3, skilled workers, status adjusted.
E37=EB3, with Bachelors degree, status adjusted.
E34=spouse of EB3, immigrant visas issued.
E39=spouse of EB3, status adjusted.
E35=children of EB3, immigrant visas issued.
E30=children of EB3, status adjusted.