No, just tested it out (in the US). I honestly had no idea there was a web client at all because of the pattern OP is talking about.
When I clicked the zoom link it opens a browser window and pops up a system dialog to launch the zoom app. After I hit "cancel" on that dialog I was on a page with a large "Launch Meeting" button (and no link to use the web version). Then, I clicked the "Launch Meeting" button and it opened the same system dialog again. Then, after I clicked cancel on that dialog a small link appeared at the bottom that says: "Having issues with Zoom Client? Join from Your Browser"