Experiments cover two datasets, MovieLens-1M and Amazon Toys & Games, constructing five types of black-box recommendation environments: NARM, SASRec, TwHIN-BERT, BGE, and Qwen3.5-4B. At round 20, CtrlBench-Rec achieves higher coverage than random probes of the same scale across all five architectures: NARM 3.72%, SASRec 8.95%, TwHIN-BERT 12.07%, BGE 27.41%, and Qwen3.5-4B 13.93%. External controllability does not increase monotonically with model parameter scale; it is more likely dependent on the recommendation architecture, item representation, and the match between target semantics and retrieval mechanisms.
External controllability varies significantly across content categories. In MovieLens-1M, Film-Noir accounts for only about 1.1% of all items but achieves a final coverage of 6.8%; Romance has more items yet only 6.4% coverage, lower than the smaller War category. The paper suggests that some moderately popular categories have overly dispersed internal semantics, lacking a clear representation center, making them equally difficult to guide consistently. This indicates that external controllability is influenced not only by popularity but also by the structure of the target category within the system's representation space.
Extending the interaction budget to 200 rounds, CtrlBench-Rec's cumulative coverage gradually saturates around 55.7%, without approaching 100%. This demonstrates that external controllability has clear boundaries: some target content may be nearly unreachable under the current behavior interface due to missing retrieval, sparse representation, or insufficient collaborative signals. More interactions can help probes approach this boundary faster but cannot guarantee breaking through the structural limitations inherent in the recommender system.