In general, most countries/regions require a proof of vaccination for travel, or to be accorded certain exemptions (e.g., exemption from testing or quarantine).
However, some countries/regions may also have certain policies or exemptions for travellers who had recovered from a past COVID-19 infection. For these countries, you may be able to use your Recovery HealthCert as a proof of your past infection.
You are advised to check the requirements of your destination country/region before you travel, such as the type/format of proof accepted.