Restoring a database using backups that cover the same time periods multiple times
DIFFERENTIAL backups are there for one and only one purpose: to speed up restore by allowing you to skip one or more LOG backups. Namely, all LOG backups taken between the last FULL backup and the DIFFERENTIAL in question.

Since, in your example, you have no LOG backups between the FULL and DIFFERENTIAL, then there is no LOG backup to skip so there is no restore speed to gain. Attempting to restore the DIFFERENTIAL is a waste of time.

If, say, you'd modify the sequence like this:

t01 FULL database backup 1
t02 Log backup 1
t03 log backup 2
t04 Log backup 3 
t05 log backup 4 
t06 Database DIFFERENTIAL backup 1
t07 log backup 5


then it would be a benefit by allowing you to skip the restore of LOG backups 1-4.