Philippe,
I think what you mean is that you can edit the address so the shipping is to a different one. The company displayed here is the one under which the user has an account, and up to now we have seen no reason for a customer of one company to ship to another company, though they may ship to a different address if they have more than one branch or location.
If we are to make a feature request for the company name to be editable, can you at least provide the reason why you want to edit this field?
Edited by Eric Lachance (12/15/10 12:42 PM)
Edit Reason: edited for clarity