As the leader of the Republican party, saying "no objections" is tacit approval for the membership to vote in favor of it, which they did that very day.
It passed both the House and Senate primarily on the votes of Northern state delegations.
Afterwards, Lincoln took the further unusual step of sending letters to all the governors of all the states, including all the seceded Southern states, informing them of the passage of this proposed amendment in the Congress.
The President plays no role in the Amendment process, and letters to inform the governors of the passage of this amendment must also be recognized as an effort to get approval in the states.
The Amendment was ratified by several northern states, and Seward guaranteed that it would be approved by New York as well. Seward was the primary sponsor of the amendment in the Senate, and he was also Lincoln's secretary of state.
There is even further proof that Lincoln was pushing this amendment for months before it was voted on in Congress, but i'm not going to look it up again at this time.
Even tacit approval is not urging, which is direct and an active appeal to pass and ratify the amendment in question.
With all due respect, stop contradicting yourself on this point.
Not to mention, instead of revitalizing this amendment upon victory, the Thirteenth Amendment was “pushed” as it were in its stead.