Cryptocurrency activity cannot be stopped, even in a bear market. There are always favorable opportunities, even when we are in a bear market. Moreover, bear markets are temporary, not permanent.
Good projects don't need a bull market to succeed, but the problem is that we haven't seen a successful project in a long time. Most projects are either scams or failures, and there is a widespread proliferation of meme coins that have no project and are worthless.
No condition is permanent, and change is constant. The crypto market is very volatile, and there are constant market changes which are not permanent, like the demand and supply factors. The bull and bear market are normal market situations, but sentiments, emotions, impatient are the most common challenge that affects the market trends, it is very obvious that non of this situation last for ever, they will come and go.
As for new projects, the bull market is important for all coin/tokens whether new or old, just the same the way the bear run affects all projects market prices. Bitcoin drives the entire crypto market, a Bitcoin bull or bear run affects the whole market.