I think by now the terms vi and vim are all but interchangeable, except in a context where you specifically mean plain old Bill Joy vi.

On some systems vi is aliased to vim, so you would appear to have both, but you really just have vi. Even on systems where full vim is not installed, the "vi" installed is cut down vim.

I worked in Centos for awhile and vi was aliased to vim, but that might have been a local practice.