The reason Tuberville has been able to hold up the military confirmations is the large number and frequency of them. If there isn't unanimous consent the process of approving each individually would leave the Senate with no time to do anything else. If they want to move forward a single appointment through the process that can be done in a few weeks.

The Democrats may even try to use this to gain more support for the temporary rule change needed for mass approval of the military confirmations. They can say it isn't a partisan effort because they will use the rule change to override the hold of a Democrat.