I've noticed that recent Chrome version does not allow me to download the pdf I'm viewing. I had to open it in Firefox. The Chrome browser only allowed me to save it to drive (cloud)
You can absolutely download PDFs on the all Chrome versions including the most recent. You need to do is set chrome to download them instead of open them.
I am a developer but have to deal with questions on this regularly from people's at my company due to the IT department being small.
I mean once you get into a pdf. Sometimes web page opens it instead of allowing download. The built-in pdf browser of chrome has no option to save it locally on android phone. I have not been not precise in explaining, because I find Google and Android constantly reducing my ownership of my own phone and that's another brick in the wall here
I have the opposite problem: I want to simply render the pdfs so I can, you know, read them. not download them like they are data to be fed into another app.