What the people at the industrial and commercial window said is unreasonable. It is difficult for people or they don't know how to register. You can tell him that they can change it after registration. Why not now? Are there any rules? At most, you may need an agreement or something (it is not necessary). If you really can't, consult their leaders or the legal department.

Civil affairs are higher than administration, and it is absolutely impossible for administration to intervene in civil affairs.

I have already registered.

Unless there are special regulations in your place, the regulations of the local industrial and commercial bureau are invalid. You might as well ask.