Update with Bottom Line Up Front: Beer is finally drinkable, but not something I want to share with my friends. If you drop a stopper in to your beer and it is a "cheap rubber" stopper, get it out asap, transfer your beer asap, or be prepared to take a few months to let it mellow out so you can drink it. ... and don't plan on sharing it with anyone.
Processes since first post:
It was a cheap brown rubber stopper, not a clean white plastic one. If it had been the white plastic, I think I would have been just fine.
I let the beer finish initial fermentation then transferred to a secondary to get it off the rubber. It had a
very pronounced rubber taste and aroma and wasn't even palatable. I was careful to minimize agitation in hopes that the bulk of the rubber particles would be down in the trub.
The rubber stopper was easily removed with the video in my OP. It was actually kinda fun.
There was no visible deterioration of the stopper. I promptly threw it in the trash anyway, just to let it know how I felt about it popping in to my freshly pitched wort. I will never use a "cheap rubber" stopper again.
When I transferred to the 2ndary, I boiled and added a small mix of table sugar and water hoping that a little extra fermentation might help the yeast clean up the crap. I did see some mild signs of fermentation, so I let it sit for three weeks.
By this point, I was 4 weeks past brew day and decided to take a sample. The rubber smell and taste was still very pronounced. Unwilling to give up so easily, I transferred it to a tertiary in hopes of letting it settle some more and get the rubber out. I decided the choice of dumping the batch down the drain was worth the risks of oxygenation and/or contamination. I had the carboy and fermentation space available, so gave it some more time.
I let it sit another month in the tertiary. The sample after that was much more palatable, but still had evident rubbery notes and was not a beer I would enjoy or share. Since I still had the time, I let it sit a couple more weeks.
At this point, my brewery had upgraded and I had a fridge dedicated to cold crashing - so I cold crashed the beer @ 34 degrees for a week. There was still a rubbery smell and taste, but it was getting better. ...
I kegged it, force carbed it (with frequent strong rubbery smelling bleed offs that slowly became less rubbery) then let it sit for a week.
Now, after all that, it's palatable. There's still some rubber in the nose and flavor, but it is minimal, and I need to empty the keg.
It is
possible that some more time may clean this up properly, but it is plenty good enough for me to drink and I have a pipeline to think about. This experiment has gone on as long as I can let it without dumping it.
I wouldn't share this beer with anyone else, but it's decent. I'll have to brew this Black IPA kit again properly to see what it's supposed to taste like.
If this kit didn't have such a strong flavor or if I didn't have enough time to wait, this probably would have ended up down the drain.