A model according to Princeton dictionary is "the act of representing something (usually on a smaller scale)"
For example
Maybe we need to clearly separate thinking models from physical models. Physical models do exist.
Maybe the term model is too overloaded and/or too vague.
IIRC, there are already rigorous mathematics and scientific definitions for models, theories, axioms, and the relationships between these. Going to the layman's dictionary won't be of much help if you wish to understand the use of the word 'model' in 'RelationalModel'.
The relational model is a theoretical model (representation). Like a model car, it is just a representation. Defining phrases in clear concise English is fairly helpful, despite your problems with the act (more like your disease - you seem to be a verbose BuzzWord addict who uses DoubleSpeak a lot yourself - and I can find at least 3 people who'd agree).
Please don't over-analyze so much - and do consider the extremely helpful concise meanings in your dictionary. Do also consider actual history and actual meanings, rather than dressing definitions up with icing sugar. I've always considered this wiki slightly an AntiPattern: people over analyze definitions and fill pages with needless BuzzwordBingo - when in fact usually there is a clear and concise meaning and history laying underneath any term or pattern. Similarly, when I looked into Monads I went straight to the horses mouth (the inventor) to find out about the actual history and meaning behind Monads and Haskell - because people who I'd listened to on this wiki, didn't have the skill or capability of speaking in a clear and concise manner about the topic.
Do consider taking such a path to research, please, instead of filling pages with so much assumptive DoubleSpeak and cake icing.