Chances are you can make more money in a bull market. But if a person has trading experience and a clear strategy, then he can earn no less in a falling market. Especially good is the trader who conducts constantly active trading in both short and long.
There might be equal chances to make money in both of the market directions but you always need to be a versatile trader otherwise unlike you mentioned the more chances in bull market cannot be possible. But, I agree cryptos are known for holding to make easy money which means you never need to be an active trader to make money but during bull market all you need to do is simply buying and holding.
Bull market is the preferred one for crypto people as we are all following holding way of trading. It became possible due to the reason of cryptos are in early stages and still unfolding its potential slowly to its investors.