I don't hate the idea of a film having no dialog. Monster is as simple as a concept as it gets, and realistically, dialog wouldn't be a major aspect of the story anyway. No, the biggest flaw with Monster isn't the LACK of sound, it's the EXCESS of sound.
I just saw Challengers and that was a movie where sound design and mixing were a major aspect of what made it great. This is an example of a movie where the sound design is truly awful. It was a droning, crackling score that initially had me wondering if my TV speakers were broken. (Thankfully, no...I moved to another TV to finish the movie and it was the same situation)
This droning score plays through the ENTIRETY of the movie and it's unbelievably annoying. Not to forget about the score, which is so melodramatic and intrusive that it veers into very corny territory. Music is so important because it can set or ruin a film's tone. Here, the over dramatic music and over use of a terrible score made this film feel cheaper than it needed to. The last time sound made me feel so negatively about a movie was probably Tenet.
As for non-auditory aspects, I think it's fair to warn people that Monster is a very dark movie that follows two children as they attempt to escape a child murderer. Given that...I do wish we did get SOME dialog. It's such a disturbing premise that some levity and humanity on screen would be welcome. Some explanation as to what's going on? What the larger story is here? Or even some of the motivations of the admittedly detestable adults we see in the film would add a layer of intrigue here aside from the relatively compact story we see on screen.
I generally like to support foreign films and go a bit easier on them, but I think Monster needed some tweaking to actually work. As of now, it's a forgettable and undercooked film.