Yes it is different. Only the "half" pay from time-and-a-half is deductible. For example, if you earn $40 per hour, and earn double time on Sunday, your Sunday wage is $80 per hour. You may only deduct the "normal" overtime premium of $20 per hour, although you earned additional overtime that day.
To compute this, add all of the "regular" time-and-a-half overtime premium to only half of the overtime premium that was double time. You could also figure the total hours you worked overtime and multiply that by half of your regular hourly rate.
Here is an article you may find helpful: No Tax on Overtime Explained: Qualified Overtime Deduction Rules for 2025