No I do not agree. Sounds logical at a glance but not true. A different powder with a different pressure curve can produce the same ballistics but at higher or lower pressures. Eg. A small amount of a faster burning powder may produce X velocity at Y maximum pressure in one particular area of a barrel.
A large amount of a slower burning powder may produce the same velocity at the same pressure albeit spread over a longer section of barrel or in a different area.
There are trade offs of course, some being how clean the load burns, where the pressure peaks, perceived recoil, powder cost. Target loads, because a shooter will shoot hundreds in a day, are designed to different parameters than hunting loads, which are designed to kill efficiently.
Target loads need to throw very even, consistent patterns, burn very clean with low recoil. Because they are produced and sold in the millions ( or billions) a powder savings of a penny per round adds up to big money. High velocity is not needed nor wanted but to achieve the other goals a physically small charge of fast burning powder producing higher pressures is used.
Hunting loads need heavy payloads at high velocities. They are used in relatively small quantities, production cost, clean burn, recoil, are not factors of importance. They normally use large charges of very slow burning powder to achieve these goals. The pressures of these loads may or may not be higher than a given target load but all factory loads, regardless of the intended use will conform to SAAMI and CIP standard maximum pressures even though the components may differ greatly. Think….Rifles typically operate in a maximum pressure range of 40,000 to 60,000 PSI. Rifle barrels are thick. Rifle actions are very strong.
Shotguns operate at 6,000 to 12,000 PSI. Shotgun barrels are VERY thin. Shotgun actions are strong enough for the intended ammo but far weaker than riflle actions. Bottom line, don’t confuse pressure with velocity without including the other relevant factors.