Small northern states didn't want to count any slaves not for purposes of abolishing slavery, but to limit population counted for representation.
The Founders were uncomfortable with the juxtaposition of chattel slavery and liberty, but they were heavily committed to the sanctity of private property, limited government and inter sectional harmony.
It benefitted Southern states to include enslaved population to give them more seats in the House of Representatives and thus more political power. Delegates from Northern states, however, objected on the grounds that enslaved people could not vote, own property, or take advantage of the privileges that White men enjoyed. (None of the lawmakers called for the end of slavery, but some of the representatives did express their discomfort with it. George Mason of Virginia called for anti-slave trade laws, and Gouverneur Morris of New York called slavery a nefarious institution.)
That doesn't sound like a hearty push to end slavery. The northern delegated may have had issues with slavery but they weren't pushing for abolition during the Constitutional Convention.