I have an android and some sites force me to do that, I wonder if they are site related or the smartphone just tries to be smart and make you use the app. For example when I force chrome to show me the desktop version of patreon on my samsung, some parts of the site will try to force you to either open with the app or a different browser (which will go mobile mode).
I don't know if this works with tapas specifically, but when it pulls the "wanna open this in the app?" Or just automatically takes you to the app, I copy the link and open in a different window. For whatever reason, chrome behaves differently then.
I haven't attempted reading on chrome on the phone though. I use the desktop version on my phone to check my earnings and access episode editing when I'm on the go.