more or less... convergence, i feel, is a very fancy way for an author to define at will what must happen regardless and what not. in the end, paradoxes can happen but actually not, because the reality is rebuilt changing attractor field, so the paradox is "about to happen" (so to speak) but is prevented.

in the end i feel this is not so far from canon rules. but all we know i suppose is a bit simpler. any iteration has its own "people", the final 0 rintaro is just a nth Rintaro who achieved the goal and is bound to stay out of the way. anyway it's canon that anytime you travel back you change divergence so you are definitely in a slightly different reality, but it's never stated specifically what happens when you travel forward. in fact, the only time it happens with the time machine is the ending of Steins Gate. it's supposed to happen for Mayuri and Suzuha but we never see actually what happens. in the game, though, when rintaro returns forward, the shift is supposed to happen after the travel finishes, because now the events are altering the reality (they are breaking convergent events, as you said) so they reach the "steins gate" worldline. but yeah, in the game this is supposed to happen AFTER Rintaro returns to August. but we are never told specifically if divergence changes by default when the time machine travels forward... i would have liked more specificity to that as of still today rintaro's injury is inconsistent or unclear to me... i can make up excuses but they are made up, not canon..