Unless a particular country's laws specify otherwise, Country of Origin usually IMO implies its final assembly location, although parts may be sourced from various countries. If one shifts their final assembly point to another country can possibly avoid unfavourable expensive tariffs in another.
Profit is the motivation for a manufacturer, basically the reward / Incentive for producing an item. If it becomes less profitable, then in order to remain in business, either the manufacturer discontinues the item(s) or shifts it to a more profitable location.
Another caveat to profitability is law(s) within a country that bans products or components manufactured from a particular country. With US for example, it could be parts manufactured in North Korea. Thus, a sax containing North Korean part(s) may be un-importable to US or even non-transportable in US destined for another country.
Profit is the motivation for a manufacturer, basically the reward / Incentive for producing an item. If it becomes less profitable, then in order to remain in business, either the manufacturer discontinues the item(s) or shifts it to a more profitable location.
Another caveat to profitability is law(s) within a country that bans products or components manufactured from a particular country. With US for example, it could be parts manufactured in North Korea. Thus, a sax containing North Korean part(s) may be un-importable to US or even non-transportable in US destined for another country.

... when I retired, she said, "No more saxophones, we can't afford it!"