I think there are two different interpretations of what you mean by "More spots will be available for other countries at the qualifying competition if these results stand. "
If you mean there will be more Olympic spots to be earned at the qualifying competition, that isn't correct. If the current results hold, there will be 16 Olympic spots given out at this competition and 3 available for the qualifier.
However, if you mean there will be more teams vying for the 3 available spots at the qualifying competition, the answer is maybe.
If team Japan#2 had done better, then Japan would get 2 Olympic spots at this competition, but one other team at the bottom of the results would lose their spot. So in one scenario Japan2 goes to the qualifier, in the other bottom (knocked out by Japan2). The only way there would be more teams at the qualifier is if both the knocked-out team and Japan3 went to the qualifier. Does Japan have a team3 they could send?
If the USA gets 3 spots for Worlds, they would still get 2 Olympic spots at this competition (same as if they got 2 World spots), BUT they would be able to send a third team to the qualifier. So number of teams vying at the qualifier would be bigger (by 1).
If Canada does a bit better at this competition, they could get 3 Olympic spots (instead of 2). So they would knock someone at the bottom out, and that team would presumably try for a spot at the qualifier, so one more team vying for a spot at the qualifier.
If the current results hold after the free skate (which is possible but unlikely),
the Olympic pairs spots will be distributed:
2 spots: ITA, GER, USA, CAN
1 spot with the right to try to qualify one more: JPN, GEO, HUN, AUS
1 spot UZB, GBR, NED, FIN