Yes, correct, the pump does generate the initial pressure, so your not technically wrong, but in practice, let's say you have a steel tank, with 120 psi of just water, as soon as your release any water, the pressure Rapidly drops, because fluid can't be compressed. Guess the correct way to word it is, the Tank provides pressure to the home, in that, if you didn't have a pressure tank, you wouldn't Maintain pressure to the home, in-between pump cycles.
If your pump (or foot, or riser pipe) won't build to 40 psi, the tank wouldn't magically generate pressure.
If you pump say 50 LF of 12" DI water main up to 150 psi for a pressure test, and open the value next to the gauge, and let out even a gallon of water, how much does that 150 psi drop? A lot, and that is also considering the pipe expands somewhat under the test pressure over general line pressure.
Now let's look at a typical rural home; say 100 lf of 1" down pipe/riser pipe; maybe 50-100 lf of pipe from well to home, probably 3/4"; now just a few drips from a sink would then drop the pressure at the switch, cause the pump to cycle, every few seconds, for just a second, and possibly not even maintaining pressure to the home. Now, we have surging pressure peaks when the pump kicks on, multiple times per minute, 24/7; not good for pipes; also we have an electric motor that is ment to cycle on, less often, but run longer; not good for that...
BTW, I get what you're saying; and you're right; but the simple way to explain it, is yes, the Tank provides pressure, even if that's not text book correct