try to create a staging of your website, then
Booster for WooCommerce – Dashboard – Manage Settings – reset (not reset meta)
now booster setting is empty,
set the currency switcher again, if it works well, means there is sth wrong with the setting in before website, it happens especially you ever moved your website from old hosting to a new one. wish helpful.
btw, “Multicurrency (Currency Switcher)” is not a separate module/tab, some times you have to ref. sub-tabs named “Currency Exchange Rates” in the “Prices & Currencies” tab.