Acts 14:3
"So they remained for a long time, speaking boldly for the Lord, who bore witness to the word of his grace, granting signs and wonders to be done by their hands."
There is an important biblical principle you are intuiting correctly. Scripture consistently shows that when God's servants step forward in faithful obedience & courage, God often responds by publicly confirming His truth.
Boldness is not the cause, but it is often the occasion. God does not say, "Because you were brave, here is power," but rather, "As you obey & speak, I will act to validate My word." The emphasis stays on God's sovereignty, not human initiative.
A helpful comparison is Acts 4:29–30, where the believers ask for boldness and for signs & wonders, & God answers both. The miracles flow from God's purpose to glorify Christ & advance the gospel, yet He delights to work through obedient, fearless witnesses. Boldness positions the servants; power belongs to God alone.
The safer theological phrasing would be: bold obedience accompanies divine confirmation, rather than boldness producing supernatural power. The verse safeguards God's glory while still affirming that courageous proclamation matters deeply.