Deductions & credits

I realize this is an old post but exactly matches my question so I’m hoping someone can help!

We also put $5000 in a FSA pre tax for dependent care, but we pay about $19000 in child care each year. 
So 20% of $19000 is $3800 which would mean we qualify for a $3000 credit right? 

So am I correct that we would save more if we didn’t take the $5000 out pretax? (Assuming the 25% tax bracket used in the calculation.)