[Nevadaref]

What you found is true with one exception. This is because 4-44 starts off by saying, "Traveling (running with the ball) is moving a foot or feet in any direction in excess of prescribed limits while holding the ball."

Here is the Case Book support:

TRAVELING - OR NOT
4.44 SITUATION A: A1 attempts to catch the ball while running rapidly. A1 muffs the ball, but succeeds in securing it before it strikes the floor. A1 then begins a dribble, taking several steps between the time the ball was first touched until it was caught. RULING: There has been no violation provided A1, after catching the ball, released the ball to start the dribble before the pivot foot was lifted from the floor. (4-15)

4.44 SITUATION B: A1 attempts a try after ending the dribble. The try does not touch the backboard, the rim or any other player. A1 runs and is able to catch the ball before it strikes the floor. Is this traveling? RULING: No. When A1 recovered his/her own try, A1 could either dribble, pass or try again. There was no team control after the ball was released on a try. (4-12; 4-41)


and the one exception:

4.44.5 SITUATION B: A1 dives for a loose ball and slides after gaining control. A1 is in a position either on his/her back or stomach. What can A1 do without violating? RULING: A1 may pass, shoot, start a dribble or call a time-out. Once A1 has the ball and is no longer sliding, he/she may not roll over. If flat on his/her back, A1 may sit up without violating. Any attempt to get to the feet is traveling unless A1 is dribbling. It is also traveling if A1 puts the ball on the floor, then rises and is first to touch the ball. (4-44-5b)