Sorry, but I can not provide any first hand review information, I do not own a PW2 myself.
The alternate browsers work was done mostly during the Kindle-Touch / Kindle-Paperwhite era.
There are users here of the various browsers, but I am unsure if any of them have been run on the PW2.
I'll leave that question to the users of the applications.
In addition to the Skipstone browser is another one that was showing promise, the Midori browser.
http://midori-browser.org/
(Also a web-kit base browser, but a much newer version of web-kit than what Amazon is using.)
The last that I recall (dis-claimer: I have a faulty memory), the author of that effort was having some problems with pop-up windows that over-layed parts of the keyboard.
Someone that was (or is) using it could probably give a better description of its current status.
The author of that effort (twobob) has not had any hobby time available recently, so I know that a PM to him now will not get a response.
He will be back when he gets back.
There may have been several other minor efforts on other browsers, I have forgotten those details.
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You have probably found out by now that there isn't an index page for the PW2 (yet).
But any user could add one (the top part of the pages is mostly boiler plate - cut/paste/edit should get it started).