The Emancipation Proclamation applied only to people held as slaves in states that were in rebellion against the United States. To free slaves in states that were not in rebellion against the United States, a number of amendments to the Constitution had to be passed.
Is the good Congressman suggesting that the enforcement of the debt ceiling constitutes an act of rebellion against the Unites States, thereby giving Obama the power to void the debt ceiling?
Not really. By the time 13A went into effect, slaves remained in bondage only in KY (about 50,000) and DE (something <200). All others had previously been freed either by state action or by the Emancipation Proclamation.
The true incentive for 13A was not the relatively few remaining slaves in KY, it was the possibility (quite reasonably grounded) of a legal challenge to the legality of the Emancipation Proclamation. While Lincoln could proclaim anything he wanted, this did not of itself give the Proclamation legal and constitutional validity.
While in retrospect it seems unlikely the post-war SCOTUS would have rule the EP unconstitutional, it was a genuine concern at the time.