Yes, but providers of such distributions should be extremely clear and explicit if they do so.
As described above, OpenMDW-1.1 applies not only to machine learning models, but also to other related artifacts that are provided under OpenMDW-1.1.
This means that if other related artifacts are included in the distribution without any other terms, they are presumably considered “Model Materials” and are subject to OpenMDW-1.1’s license grants.
However, a distribution might also include content under other licenses. This could include, for example, pre-existing software from a third party under an open source software license such as MIT or Apache-2.0; or even the model provider’s own related artifacts that are provided under other terms. (This is very similar to how open source software projects under one overall license indicated in the top-level LICENSE file may include components that are under different licenses as well.)
In such a case, the model provider should be very clear in the primary documentation (e.g. the top-level README and/or LICENSE files) about the presence of content that is subject to other license terms. The other applicable license terms should be clearly stated, along with an easy-to-understand explanation about which files and content are subject to the non-OpenMDW terms.
A model provider may want to consider distributing such non-OpenMDW artifacts in a separate distribution or repository if feasible, to avoid confusion to downstream users about which portions are subject to OpenMDW-1.1.