No. That's what the Democrats want. It allows precedence to be set and gives them a face-saving way out of this.
President Trump just needs to keep standing strong. It's Pelosi's constituents who are suffering right now. Pelosi is the one who needs to bend the knee.
Precedent no longer matters. We're on the verge of something really ugly, and the only thing that matters is a win that restores our borders. We need a wall. If President Trump can't have $5B for part of a wall, he should use the military and build the entire Wall: 1900 miles of the best possible barrier for the terrain in question.
Start with a double barrier of triple-strand concertina wire, patrolled to prevent vandalism, and lay that so fast that even an Obama judge can't stop that first barrier from going up. Then start building with concrete and steel, so deep that tunneling is expensive and so high that climbing is not an option. You can buy a whole lot of concrete and steel if you are not paying for labor.
After that, I want to go last-in, first-out on processing asylum claims on new illegals. The most recent criminals to cross get an immediate hearing. If they don't have documentation to support their demands for a place in our country and access to our tax dollars for welfare payments, deport them. If they have documentation, give them an NSA-level lie detector test. If they pass that, they stay; if not, they get deported.
Very few will want to cross if we set the bar where it ought to be and don't give them a multi-year window with free access to our jobs and government services. Once the influx stops, it will be easier to work through the illegals we already have and deport them too. Cut the overload on our hospitals, schools, and social services, and even many democrat voters will see the benefits of restoring the rule of law.