I think your idea is a bit naive. The altcoin does not rise with BTC even in a bull market, but BTC rises first, the altcoin is falling at the same time. This situation last several days until the price of BTC is stable, then it is the spring of the altcoin.
The usual scenario happens in the market if price of bitcoin rise some altcoin is down. Bitcoin has the dominance in the market. Never panic market will suffer everytime because of down of value but somehow it will rise.