Roughly 80 years ago many computers used analog logic, for example an amplifier with variable resistors could multiply and divide.

The matrix multiplication seems to be central in Transformer architecture.

I wonder if it would make sense to create a sort of Transformer on a vaguely similar concept?

If you wonder why this question, after all there are still guys who design digital computers with tubes or even mechanical relays, then why not analog Transformers?

https://hackaday.com/2023/12/05/a-single-board-computer-with-vacuum-tubes/

https://hackaday.io/project/189725-homebrew-16-bit-relay-computer