This paper presents the first empirical investigation into the naming practices of pretrained models (PTMs) in the Hugging Face PTM registry. We present the results of a survey of 108 Hugging Face users, analyzing their PTM naming practices and differences from existing software package naming practices. The survey results reveal a discrepancy between engineers' preferences and current PTM naming practices. We then introduce DARA, the first automated DNN architecture assessment technique designed to detect PTM naming inconsistencies. DARA identifies model types with 94% accuracy based solely on architectural information, and achieves over 70% performance with other architectural metadata. We also highlight potential use cases for automated naming tools, such as model validation, PTM metadata generation and validation, and plagiarism detection. This study provides a foundation for automating naming inconsistency detection and suggests future research on automated tools for standardizing package naming, improving model selection and reuse, and enhancing PTM supply chain security.