You can think of it how you want, independent or dependent. It's a matter of perspective only.
Just like numbers. Do numbers really exist or is math just a construct of the human mind? If you start counting from 1, was there a before 1?
The scientific argument would be, do you care what is before 1? Does it make any difference, if all we know is definable with positive numbers?
Personally I would say it does make a huge difference (to know if time is finite or not), but there is no practical application for knowing.