> ostensibly pressures Netanyahu into accepting the ceasefire
There is no evidence of this.
Every single time Trump has blustered about doing something e.g. turning Canada into a 51st, buying Greenland the parties have been concerned but not particularly worried. Because he doesn't follow through.
So the idea that we should credit Trump for his words and ignore the months of diplomacy and pressure from not just the US but Middle Eastern countries is bizarre to me. Ceasefires are always far more complex and nuanced than they look from the outside.