You have answered your question about its correlation. There were times that it is correlated and there were times that it don't.

To answer your question as for your title, the altcoins will also follow bitcoin's rally. We don't know how long this rally will commence but it's usually coming after the btc bull run. Alts will start to take time of becoming bullish when bitcoin's done.

But as of the moment, there's no sign that bitcoin will stop.