The counter will be still running when you keep at the second contract!
For example: when you have 3 more days to receive 2 tokens at once, but the contract will end in 2 days, you'll have to re-new the contract and you will see that you're getting 2 tokens at once as normal.

But when you change contracts, the counter will reset and you'll have to log-in 4 days in a row to receive 2 tokens at once.

Notice: the second contract is by far the best contract for players who log-in every day.