For such a large amount, the $ 5 fee does not mean anything. It's still very cheap and affordable. Maybe if the price of bitcoin is expensive and reaches $ 100,000 it is likely that the fee will increase.
Fees will be increased in small transaction, it was big transaction which is 5,00000$ instead of 5$ fees so i think it's quite cheap in as a big transaction.
I see in my small transaction fee is something large. I don't know fee amount is connected in transaction speed or not.