Does Erase Disk delete the Recovery Partition?

I was trying to reformat my Mac Mini Mid-2011, so I went to Disk Utility. I saw that there was a Recovery Partition. Then I did an Erase Disk, which I thought was only erased the main partition and would leave the Recovery Partition.

Then I rebooted and held down cmd+R. The screen showed "Starting Internet Recovery", which means that my local Recovery Partition is gone, right? :(

I was hoping to save time by using the local Recovery Partition instead of downloading from internet.