Not true at all.
In December of 1860, The Committee of Thirteen had been established to develop peace proposals. The members were Senators of both the Republican and Democratic parties, and were from the North, West, South, and border states. They developed five proposals of their own as potential solutions.
After the Crittenden Compromise was developed, key Southern Congressional members indicated that it would be a satisfactory compromise to the states likely to secede. Therefore, secession and military conflict could be avoided.
William Seward, decided that a representative should be sent to Springfield to inform President-elect Lincoln of the potential peace saving Crittenden Compromise, and its mutual acceptance by leaders in both parties.
The greatest Republican boss of the day, Thurlow Weed was chosen to convey the plan to Lincoln.
Weed was very much in support of the plan as well as other Republicans and Southern Democrats. This meant that peace could have been had. But Lincoln was not in agreement with the proposals in the Compromise.
On December 20, the day that South Carolina voted to leave the Union, in a meeting with Thurlow Weed, Lincoln gave his out of hand rejection of the compromise, and put his answer in writing.
Most importantly, during the next two months, his political manipulations to marshal Republican support of his position, eliminated the peace effort. His opposition to the effort and its eventual failure was engineered by Lincoln before he took office.
Example one of Lincoln's manipulation toward war.
Again, opinion. One could just as easily say that South Carolina's firing on the Star of the West was the first act of aggression and evidence that the South was not interested in a peaceful solution.
As for the Crittenden Compromise they were voted down in Congress. And when a later convention was held in Virginia to try and bring them back again none of the deep South states participated. So the simple fact is that neither side saw them as a solution.