A change in units doesn't change the effect. As @planetmaker says in the comments to the question:
It's inconsequential, whether you drive with 100km/h or 62 mph or 54 knots or 28m/s through town - it's too fast and produces the same impact energy...
A good choice of units can help with intuition. The standard units for the Hubble parameter $H_0 \approx 70$ km/s/Mpc, were choose for precisely this reason. For every additional mega-parsec of space between us and a galaxy, it appears to recede with a velocity $70$ km/s faster.
There are many other choices we could have made. Why not $2.3\times 10^{-18}$ Hz in base S.I. units. Or why not $70$ m/s/kpc or $70$ mm/s/pc? These use the same intuitive interpretation, but are less suited to the scale of the effect. Cosmological expansion only matters on very large scales on the order of the distances between galaxies.
The stellar disk of the Milky Way is ~60 kpc across. When we observe stars 10 kpc away they don't appear to recede at $700$ m/s. Their motion is dominated by the local gravity of the galaxy, not the larger scale cosmological effects. Cosmological expansion has almost no effect on their motion.
The Milky Way belongs to the Local Group of Galaxies, which is about $3$ Mpc across. The Local Group is part of the Virgo Supercluster of galaxies, which is about $30$ Mpc across. The effect of local gravity in our cluster means that the observed apparent recession of our neighbors is about 10% slower than expected. Based on this it seems like cosmological effects start to really matter at the scale of a few to $10$s of Mpc.
In that sense the right unit for cosmological expansion is something-per-Mpc.
Base S.I. units are human scale: meters, kilograms, seconds. They are great for human scale processes. They aren't so intuitive when we apply them to cosmological processes. I can't grok what $2.3\times 10^{-18}$ Hz means, but I can understand $70$ km/s/Mpc.
If you assume the universe has been expanding at a constant rate of $H_0$ since it started, then $H_0^{-1}\approx 14$ Gyr would be the age of the universe. The universe has not been expanding at a constant rate. So we carefully account for how the expansion changes with time using the standard $\Lambda$CDM cosmological model. It turns out that $H_0^{-1}$ isn't all that bad of an estimate.