There will be no problem, as the CPC for this charge point connects directly to the incoming PE, as it has integral open PEN fault protection (that's what the "Pro Earth" bit stands for). The absolute highest value of Ze should never exceed 0.8 Ω for a TN-S supply, 0.35 Ω for a TN-C-S/PME supply. This means that Zs at the charge point is unlikely to be much above about 1 Ω. The Zoe charger measures Zs during it's initialisation stage, and will only refuse to charge if it exceeds 150 Ω, so way above the possible maximum from a charge point connected to either a TN-S or TN-C-S/PME supply.
The only problems with the Zoe are for installations where there is a local PE provided via an electrode, a TT installation. You won't have one of those, as if you did there is no point in fitting the Pro Earth version of this particular charge point. A TT installation can have a PE with an earth loop impedance that is higher than the 150 Ω that the Zoe will accept, as the regs allow Ra (the earth electrode resistance) to go up to 200 Ω *. This means that a few homes that have TT supplies, or charge points wired as TT to provide open PEN fault protection, can cause issues with the Zoe if they have a high, but acceptable, value of Ra. This is usually easy to fix, just means fitting a better earth electrode, and often the problem needs fixing anyway, to make the installation safer, especially with some older installations where things have degraded over the years.
* Technically, 200 Ω is not a hard limit, the regs allow Ra to be as high as 1667 Ω for a 30 mA RCD, but the guidance from the IET is that any measured value post-installation that's higher than 200 Ω isn't generally acceptable, to give a safe margin for Ra variation with ground conditions, etc,
