This ability is kinda funny because in the video game Godzilla generations 98 Godzilla has this breath thing as one of his abilities meanwhile the other playable Godzilla’s have their atomic breath or beam attack.
The "power breath" is a weird compromise. It wasn't really advertised, some people forgot it exists or didn't registter it in the first place. It doesn't break any rile established in the film it just highlights how TriStar felt about the original movies.