It probably lingers longer yeah, but then once it's gone by it's gone by, a satellite constellation will give repeated coverage as they orbit. It's not like a 'weather' balloon is particularly manoeuvrable. If it genuinely did provide any intelligence threat then it'd have been shot down much sooner. It's not like Montana is heavily populated.
Ironically the whole event was probably of more intelligence value to the US than to China. The fact is, it provided a negligible threat, so any risk associated with 'shooting it down' is inherently unacceptable. Conversely, it provided the US with