Compared to Spain, Switzerland, caught between France and Austria, was even more tragic. Neutrality wasn't even an option; small countries had no choice.
If Austria collaborated with Russia and Spain out of political necessity, including Switzerland was merely to pad the numbers.
Not taking sides was fine, as Austria was peace-loving and wouldn't force anyone to join. However, after the war, the international order was established without the involvement of non-participating countries.
Don't assume that Switzerland was happily neutral in the original timeline, indifferent even to joining the European Union; that was based on the rise of the United States and the decline of Europe. Remaining outside the system, the ultimate outcome was merely a question of how to perish.
Not to mention, just one food embargo, and Switzerland wouldn't last a year before starving; a single tariff barrier, and Switzerland's nascent industry would regress back to the medieval era.
