Anaconda was the competition pip needed to become good. When Anaconda was introduced, I (a pip person), was impressed. However, at work we had pip workflows that were working okayish, so I never made the switch.
Today, pip et. al. has so dramatically improved, that I hardly see a reason to use anaconda. I am not using deep learning stuff, so I cannot comment on this, but for most scientific python stuff (scikit learn, pandas, numpy, etc.). Pip and pre-built wheels work very well.
On my new job, I was given a Windows laptop that I happen to use now for my development work (because I am too stupid/lazy to properly configure and maintain a separate virtual linux machine). And I started with anaconda, assuming it was less trouble, but quickly ran into trouble. pip worked like a charm [].
[] Ironically pip is installed via the anaconda base installation if I am not mistaken :)