“So, can we be consistent on whether to call it “beer” or “lager”?”
Lagers are beers. Ales are also beers.
So what you are asking is like “is it a ‘car’ or is it a ‘chevy’”?
I am making commentary on the writing in this brief article. Where beer is indicated to be either lager or ale, but then proceeds to mix up usage of beer and lager.