you are so quick,, to answer ,,
it is the way it should be.
but I think you can apply the new installed morph to your character which saved before.
first load the character dsf which you saved before.
now it has not morph you installed after you saved the character.
select the genesis, then apply new genesis dsf with ctrl + double click on your character.
now the genesis has new morphs controller but the character shape return to genesis.
then top menu Edit undo.
now I think your character can use new morph which you install after you saved the character.
(“apply new genesis, then undo” can use for your character saved in .daz.sceane file I think
now I do not use ds 4,,t)
now in ds 4.5 if you save the character of genesis, or saved sceane as duf,
and after that you installed new morph, every morph controller appear when you load the character or duf.scene.
I do not know which is useful for me.I hope just keep what I saved before perfectly.