Varimax and Promax usage, an alternative to ICA?

[BradKML]

there is this repo that brought up the ideas of a transformation based on increasing variance. https://github.com/alfredsasko/advanced-principle-component-analysis
If maximizing variance and maximizing independence between factors look so similar, what could be the difference? https://danielroelfs.com/blog/a-basic-comparison-between-factor-analysis-pca-and-ica/