Thanks for your comment, Sasha.

As per my understanding, we need to introduce an additional constant term to get the VIF index in a similar range scale as calculated by R. The official documentation on it doesn’t mention anything related to constant terms.

https://www.statsmodels.org/stable/generated/statsmodels.stats.outliers_influence.variance_inflation_factor.html

VIF is a calculated index among the variables. As long as VIF calculated for all the variables are on the same scale we are able to infer the influencing factor.

Please do let me know if you have an alternative view.