The widespread use of optical fibers in communication technologies, coupled with their sensitivity to acoustic vibrations, creates new vulnerabilities to information leaks. The interaction of sound and light in optical fibers can be exploited to remotely record speech using only a segment of a standard telecommunication fiber. However, anti-resonant hollow-core fibers (HCF) guide light within a hollow core, minimising its interaction with the surrounding material. Due to this distinct guiding mechanism, HCF sensitivity to acoustic vibrations may differ from that of conventional solid-core fibers. In this contribution, we compare the acoustic sensitivity of a standard solid core fiber with that of anti-resonant hollow-core fibers of varying geometries and show dependence of acoustic vibration sensitivity on hollow-core fiber structure.