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Current ladder (proj_p_over_line) and champion p_win are BYTE-IDENTICAL. tb-v1 writes alongside them, on total_bases props only. STEP 0 -- components confirmed on real data, not assumed. statsapi has no singles field, but hits - doubles - triples - homeRuns reproduces stored totalBases EXACTLY on a real 10-game log. So the decomposition is exact, not an approximation. THE MODEL. Each component gets its own per-game Poisson rate; TB is their weighted sum, and the PMF is built by exact convolution rather than simulated (TB support is small). It inherits the SAME combined multiplier proj-v1.1 computes, so the two models differ only in STRUCTURE. Why this is the fix: with identical mean TB of 1.0, a pure-HR hitter and a pure-singles hitter get P(TB>=4) of 0.221 vs 0.019 -- a 12x difference an NB on TB alone cannot express, because it treats one home run as four events. A test asserts that separation, and asserts P(TB>=4) for a pure-HR hitter equals P(at least one HR) exactly. INDEPENDENCE IS AN APPROXIMATION AND IS LABELLED AS ONE: a plate appearance that becomes a double cannot also become a single, so the components are weakly negatively correlated and independent Poissons slightly overstate the tail. Closer to the truth than what it replaces; not a solved problem. HONEST-ABSENT throughout: fewer than 3 usable games, or no derivable component, returns null and the prop keeps the current ladder value. An inconsistent row (hits < extra-base hits) is SKIPPED rather than clamped to zero -- clamping would invent a plausible line out of a broken one. I HIT THE Number(null)===0 TRAP IN MY OWN CODE and a test caught it: a null rate passed a naive finite check and was treated as a measured zero, which is the difference between "this player never triples" and "we do not know his triple rate". Both tbPmf and tbMean now reject null/''/boolean strictly. Holdout committed: TB ROWS ONLY (49 of 437 settled -- averaging into other stats would hide the effect) and DIRECTION-ALIGNED, since the unaligned comparison is the artifact that accounted for 41% of the ladder's apparent loss. If tb-v1 does NOT improve, the family-mismatch hypothesis is wrong and the mean/similarity branch reopens -- recorded in the query header. Migration applied: proj_tb_p_over + proj_tb_meta, NULL-meaningful. Gates: 4,104 tests / 329 suites green; next build exit 0. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01QJs13VsyiSKYQP6rj3NNmc