Using log odds to look at variable significance

I had an idea for applying logistic regression model coefficients.

We have a certain data field that in theory is very valuable to have filled out on the front end for a specific problem, but in reality it is often not filled out (only about 3% of the time).

Can I use a logistic regression model to show how “important” it is to have this data field filled out when trying to predict the outcome of our business problem?

I …

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