I think bitcoin price fluctuations have a deep relationship with other coin price fluctuations, what do you think about this?
Of course yes, most people make decisions for their coins depends on the price movement of Bitcoin and that's why we can see shitcoins rise when bitcoin is in bullish trend or vice versa. More the dominance then we can assume that it affects more but not every coin has directly proportional movement, some have inverse effects as well.
The fluctuations of bitcoin use to affect altcoins in many ways in the market. Many people know this and use it as a system to follow up the market.
When you say that some use the inverse of bitcoin, you are correct but some funny things still use to happen when you look at it carefully. If bitcoin crashes they will all follow him but if bitcoin is doing bull run they will not follow