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The answer to your question is
NO! There are many powder numbers available because the characteristics of each one is different from the characteristics of the others, and one of the things that difference means is they do not produce the same velocity from the same peak pressure. When velocity matches, it means the
average pressure in the bore was a match,
not the
peak pressure. In general, slower powder produces the same average with a lower peak pressure value and a higher muzzle pressure value. Fast powder producing the same velocity will have a higher peak pressure and a lower muzzle pressure to get the same average pressure. However, excessive
peak pressure is what can damage the gun, so loading for velocity with a powder that has a faster relative burn rate in your chambering and with your bullet choice than the powder the commercial manufacturer used will raise the peak pressure above what his load got.
A fast powder is used instead of a slow powder when a lower velocity load, like a target shooting load, is desired. It is used instead of slow powder because the slow powder loaded to lower velocity and pressure doesn't burn very well, which means it wastes powder and produces a lot of fouling to clean up. Slow powders don't like reduced pressures.
Look for powders with published load data that produce the velocity you want, and obtain one of those powders.