Sometimes we see When the BTC High then Alts move slightly. So, what's the correlation of Alts with BTC?
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.
All you have to do is look at Coin Market Cap or Coingecko at the little charts at the left side and you will notice that most alts do follow BTC.