The trans lobby groups and orgs, and the Scottish Greens have openly admitted that more changes will be demanded in future. They want 'non-binary and gender fluid identities' to be able to obtain GRCs. A GRC process that enables people to keep applying for a new one each time their identity changes is why the current proposals are the way they are. It's the starting point for the next set of activist demands.
The draft law in Germany allows for an annual change of legal sex as well as name.
(Bear in mind that it is extremely difficult for ordinary citizens to change their name in Germany. It requires going to court and is rarely successful if applicants cannot show a convincing and real need. And it's virtually if not actually impossible to do this more than once.)
This proposed annual change is coupled with punitive measures for private persons who do not accept that a particular person has changed sex. In the explanation for this provision, family members are specifically mentioned as one intended target of this measure. The fine is €2500 I think.
Now put the two together. An abuser's wet dream is what this is.
So, yes, absolutely expect that this Bill can and will get worse.