I've had a couple issues with the tilt table, but not specifically with the taper pin regarding table alignment.
The first was on dp#24 where the tapered pin was missing from the table. The PO drilled and tapped the taper hole from the top and bottom and added a third tapped hole and bolt on the side of the table/tilt.
The second was on dp#25 where I could not tilt the table or remove the table from the support after the taper pin and the tilt lock were removed. I believe a previous owner drove the taper pin in too hard and too far which deformed the parts.
First, is the table support in the correct orientation relative to the table, i.e., is it upside down?
Second, do the table and table support appear to match? Does the shade of the paint match? It's possible that taper bores on mis-matched parts were machined differently.
The tapered pin should be tapped in first (not banged in) to align the table and then the lock tightened.
A couple more pictures with the table support may help.