Only if your drive is partitioned by the RAID controller to not use 100% of its available capacity, which seems like an unlikely scenario. The RAID controller is dissociated from the file system. Without knowing which sectors are relevant data and which are deleted data, the RAID controller has to reconstruct every sector, deleted files and all.
With RAID5/6, the parity is used to reconstruct the data that should be on the replacement drive. So only the part with actual data is written, not every sector. With RAID1, only the occupied sectors are copied, again not the entire drive.
Yes, that does mean that sectors that are occupied by deleted file data will be rebuilt/mirrored, since we know deleting a file doesn't actually delete the file from the drive just the pointer in the file table. But that is why it is a good idea to run a tool like the Wipe Free Space tool in CCleaner to wipe the free space on the volume. That way time isn't wasted rebuilding/mirroring data that has been deleted.
But, again, you don't write the entire drive during a rebuild, just the part with data on it, even if that data is garbage data.