How influential was Faust?

I have heard most albums by this band from their more accessible album Faust IV [also their 2017 album Fresh Air is very good] to archival releases in the Momentaufnahme series [which I heavily disliked]. Some of their works is quite avant garde and barely music in the traditional sense. For me, their work can be quite over the place and while having atleast three great albums, they have multiple downslopes as well. How do you view them?

I know that The Legendary Pink Dots have claimed Faust and other Krautrock bands as an influence. A lot of my fave 90s up bands were very influenced by Krautrock (often by Can, Neu! and Harmonia).

My first Faust was the debut, but the albums I have returned to the most over the years are So Far and IV.

Regarding influence, Faust's Jean-Herve Peron would organise a much loved avantgarde festival on his estate in Schiphorst (Northern Germany) for many years with hardly any budget and for free if I remember correctly. Faust would play there as one of very many (maybe 20 each time) bands/artists. This certainly had an influence, even though more on the experimental/avantgarde scene than on prog. (Actually when I went, Faust was the most conventional rock band I saw there, even with some distance, believe it or not. That was around 2010.)