Why would they care? It's your money that's going to the US, not Switzerland's.

Edit: oh, I see. Switzerland offers tax deductions for temporary expats, to attract specialists and managers. As americans don't benefit from these tax breaks (what they save on CH taxes, they pay in US taxes), that means Switzerland is less attractive to specialists and managers.

The question really is: is there a dearth of specialists and managers from the US. Are they really needed, or can the requirement be met from other countries with more reasonable tax law? Is Switzerland losing out because some specialists and managers won't come here, because they don't get tax breaks?