Do contingencies still matter if you’re buying a new build?

Wife and I will be looking to upgrade to house #2 in 2-3 years. I would like to pay down our 6.6% mortgage instead of saving in a 3% HYSA to use our equity as the down payment. If we’re buying a new build, will it matter as much if our down payment is coming from our home sale vs cash? If we buy an existing home, how much does a contingency on our offer really hurt our offer? We’re in a medium to slow RE market currently.