Most of those bad burns in the thread posted by agent009 were the result of people using MCSE to overspeed discs (one typical example was someone trying to burn Ricoh 4x DVD+R at 8x).
That is entirely different from what you are doing. For one thing you are trying to burn 16x discs at 16x, so it is not as if you are trying to push the discs beyond the specifications they were made for. For another, the rings you saw were the result of the Z-CLV writing strategy. 16x burns on the 4163B use the P-CAV write strategy not Z-CLV, so you won't get the rings.
I can't guarantee you won't get bad burn quality as you try different write strategies but you may be able to find one that works decently for those Prodisc discs.