Would it be possible to use a shared instance of safari for the browser plugin?

[Nasicus]

OS: iOS
Browser: Safari
Capacitor: 2.3.0

I'm using the official browser plugin to open an in app browser for links in my app:

https://capacitorjs.com/docs/apis/browser

The browser works good and well but has one big problem for me:

When I open a link in the in-app browser which points to a protected site I have to login, even if I'm already logged in in the normal browser (safari).
Once I'm logged in and as long as the app is still running I will stay logged in.
However if I terminate the app and reopen it, then I have to relogin again when opening a link in the in app browser.

So my questions are basically:

• would it be possible to open the in app browser so it uses the same "session" / "storage" as the normal device browser? or could we pass credentials to it somehow?
• would it be hard to implement? I would be willing to help if necessary.

Thank you!

Edit:
I see that cookie sharing has been disabled when iOS 11 was introduced:
https://blog.branch.io/ios-11-safari-view-controller-cookie-passthrough-and-the-future-of-mobile-web/

However a few years have passed: Is there still no solution for that?
And if there isn't, would it at least be possible that the "in-app-browser" (SFSafariViewController) does not lose the cookie / session each time the app is closed?