You mentioned in your post about this issue last month that there are two MWBCs with lights on them, and that one of them is having the breaker tripping problem. Have you measured the currents on the other MWBC that's working fine to see how the currents compare? In particular, does the measured neutral current on the well-behaved MWBC match the calculated current better than the MWBC with the problem does? If the problem-free circuit does match better, then maybe the discrepancy you noted above is because there's an open circuit in the neutral conductor further down the chain, and so there's no neutral current being drawn after that point. Since the measured 8.9A is 66% of the expected 13.5A, perhaps the last third of the chain has the neutral disconnected, just as a rough guess.
This assumes that the lights would still operate with 2 in series across 208V L-L and with no connection to neutral. I think it's possible that they would still operate, but maybe they could have excess inrush current if they don't share voltage evenly all of the time? I think it's also possible that this could cause prolonged startups and therefore a longer duration for the inrush current even if it doesn't increase the peak current value. And then that could cause a "thermal" trip on the breaker.
Just speculation from this end but something to consider.