At the latest European strategy update in 2020 it has been highlighted that the next highest-priority collider should be an $e^{+}e^{-}$ Higgs factory with a strong focus on precision physics. Particle identification will be an essential tool for such precision measurements to utilise its clean event environment and push event reconstruction to its full potential. A recent development of the fast-timing Si sensors such as LGADs with a time resolution below 50 ps will allow to enhance precision measurements at the future Higgs factory with an additional separation of $\pi^{\pm}$, $K^{\pm}$ and $p$ using the time-of-flight technique. In this study we present our latest developments of the TOF pID algorithm with a brief overview of its potential physics applications, discuss its realistic design implementations inside the future Higgs factory detector using the International Large Detector as an example and highlight the key role and importance of fast-timing detectors for $\pi^{\pm}$, $K^{\pm}$ and $p$ identification.