Business Process Management (BPM) demands formalized models, yet manual BPMN construction remains labor-intensive and error-prone. Large Language Models (LLMs) present opportunities for automated text-to-model translation, though their effectiveness remains underexplored. This rapid review synthesizes 11 empirical investigationspublished from 2023 to 2025, revealing a nascent field dominated by GPT-4 (55% adoption) and prompt-based methodologies (64% prevalence). Our analysis uncovers critical structural deficiencies: LLMs demonstrate fundamental incapacity for graph-theoretic reasoning and set-theoretic spatial optimization required for valid BPMN layouts. Specifically, 55% of surveyed approaches fail with non-trivial process complexity, while 64% lack reproducible artifacts. Execution of all 4 available implementations (S4, S6, S7, S8) confirmed severe degradation when confronted with hierarchical structures, parallel gateways, or spatial coordinate systems (Diagram Interchange). We conclude that current approaches conflate linguistic pattern matching with algorithmic reasoning—a categorical error that mandates hybrid architectures combining LLM semantic extraction with specialized graph layout algorithms.