The TLDR answer:

I know this is not a tech related question which you would stumble upon, but I believe, if you are coder then definitely you read a lot of blogs in medium and a lot of them are members only. Most of the times we would open it in incognito mode to read it, and it works perfectly, but is there any better way?

Well seems like there is another way, you can play around with the medium page to mimic the current page to believe you are in incognito mode. All you need to do is save the below code as a new bookmark with url as the following content.

javascript:var currentsite%3Ddocument.querySelector("meta%5Bproperty%3D'al%3Aandroid%3Aapp_name'%5D")%3Fdocument.querySelector("meta%5Bproperty%3D'al%3Aandroid%3Aapp_name'%5D").content%3Awindow.location.href%3Bfunction isPage(b)%7Bconsole.log(b%2B" "%2Bcurrentsite.includes(b))%3Breturn currentsite.includes(b)%7Dfunction process(b)%7Bvar a%3Db%3BisPage("NYTimes")%26%26(document.querySelector("html").innerHTML%3Da)%3BisPage("Medium")%26%26(a%3Db.replace(%2F<%5C%2F%3Fnoscript>%2Fg%2C"")%2Cdocument.querySelector("html").innerHTML%3Da)%3Bif(isPage("Bloomberg")%7C%7CisPage("businessinsider"))a%3Ddocument.createElement("html")%2Ca.innerHTML%3Db%2Ca.querySelectorAll("script").forEach(function(a)%7Breturn a.outerHTML%3D""%7D)%2Ca%3Da.outerHTML%2Cdocument.open()%2Cdocument.write(a)%2Cdocument.close()%3BisPage("businessinsider")%26%26(a%3Ddocument.createElement("html")%2Ca.innerHTML%3Db%2Ca.querySelectorAll("script").forEach(function(a)%7Breturn a.outerHTML%3D""%7D)%2Ca.querySelectorAll("figure").forEach(function(a)%7Ba.innerHTML%3Da.querySelector("noscript").innerHTML%7D)%2Ca%3Da.outerHTML%2Cdocument.open()%2Cdocument.write(a)%2Cdocument.close())%7Dfetch(window.location.href%2C%7Bcredentials%3A"omit"%2Credirect%3A"follow"%2Cmode%3A"no-cors"%7D).then(function(b)%7Breturn b.text()%7D).then(function(b)%7Bprocess(b)%7D)%3Bvoid+0

So from now on whenever you want to read a member only content, all you need to do is click the bookmark icon Readitor and it would make the content available for you to read without opening it in a new tab.