The analysis is correct.
In an Involuntary case, the Order for Relief is entered only after the debtor was given the opportunity to Answer the Complaint and defend his/her right NOT to be in bankruptcy. If an Order for Relief under Chapter 7 is signed, there has already been a determination that the Chapter 7 is appropriate.
Edit to add: If the debtor losses his/her fight to get out of bankruptcy and wants to keep control of his/her assets, he/she can move to convert the case to whatever Chapter he/she deems appropriate. The Court will decide if a Motion to Convert filed by the debtor should or should not be granted.
Des.

