The FBI has botched a number of high stakes operations using the tactics you mentioned.
Going in weapons hot is really dangerous for everyone involved and much like lawyers with law, the smartest people will seek to minimize their exposure to risk (ie. courtrooms, raids, etc.)
A better and cheaper solution in a hostage negotiation is to figure out the core motives for the hostage takers (often money [and why they need it]) and lead them to realistic expectations and a feeling of fairness.