The guarantor is the Government of Latvia, the fund is the means of executing that guarantee. Unless the government defaults, the guarantee is valid. See here:
In accordance with amendments to the Deposit Guarantee Law adopted by
the Parliament of the Republic of Latvia (Saeima) as from December 16,
2010 compensation of EUR 100 000 (approx. LVL 70 000) is guaranteed to
the clients of the Latvian banks (both natural and legal persons) per
depositor per each bank (all accounts added together, if several
accounts at one bank in one name). The government guaranteed
compensation covers deposits, current account balance, salary
accounts, savings accounts etc.
further down:
In accordance with the Deposit Guarantee Law, in the occurrence of a
case of unavailability of deposits in the Fund for paying out the
guaranteed compensations, such payments shall be made from the
Government budget via FCMC.