Not true. Arkansas recognized the unconstitutionality of using force to coerce seceded states back into the Union. She seceded due to Lincoln's demand for troops to invade other sovereign states. From the Arkansas Ordinance of Secession:
AN ORDINANCE to dissolve the union now existing between the State of Arkansas and the other States united with her under the compact entitled "The Constitution of the United States of America."
Whereas, in addition to the well-founded causes of complaint set forth by this convention, in resolutions adopted on the 11th of March, A.D. 1861, against the sectional party now in power in Washington City, headed by Abraham Lincoln, he has, in the face of resolutions passed by this convention pledging the State of Arkansas to resist to the last extremity any attempt on the part of such power to coerce any State that had seceded from the old Union, proclaimed to the world that war should be waged against such States until they should be compelled to submit to their rule, and large forces to accomplish this have by this same power been called out, and are now being marshaled to carry out this inhuman design; and to longer submit to such rule, or remain in the old Union of the United States, would be disgraceful and ruinous to the State of Arkansas:
http://www.constitution.org/csa/ordinances_secession.htm#Arkansas
This does still not change the fact of why south carolina seceded and why President Lincoln called up troops. It seems curious to me that the arkansas convention seemed to have no problem with south carolina firing on a federal fort but were willing to secede because they had been asked to provide troops to quell the insurrection.
I would also be interested in seeing the notes on the convention since the ordinance of secession alludes to additional well-founded causes of complaint that was set forth during the convention.