Don't believe everything that you see in delivered by search-engines (e.g. Google) - in particular responses from AI which are frequently inaccurate or downright wrong. AI-derived material is at best unreliable, having created its own responses from ingesting information found online - which itself may be unreliable.
Next, Lightning-based connections do not support USB PD - period.
Lightning uses standard 5V USB bus-power, some devices (such as your iPad) supporting ~20W charging (i.e. 5V @2.4A). Using standard 5V USB does not imply that you cannot use a USB PD-compliant Power Adapter with an appropriate cable, adapter or accessory; USB PD is an active charging protocol that, for devices that support this charging standard, will mutually negotiate the optimum charging voltage/current that are supported by the device being charged, the power source and connecting cable (which also incorporates active electronics).
For devices that don't support USB PD, the power source will default to supplying 5V to the load - and typically restrict charging current to ~2.4A. Intermediate devices, such as Adapters, may additionally restrict charging current.
USB PD has the capability of transferring more power over a lighter/thinner cable than would otherwise be possible for standard USB power. USB PD negotiates a power profile - this using higher voltages where supported by the devices involved. So, for a given charging current, a higher voltage can transfer more power (Volts x Amps = Watts). An electrical conductor's cross-sectional area determines its current-carrying capability - and can only carry limited current before it will overheat and fail. Using a higher voltage, within limits, allows cables to be lighter and more flexible than would otherwise be the case.
Returning to your potential selection of an Apple or Belkin "adapter"...
As you will hopefully now perhaps comprehend, your USB PD Power Adapter will detect that neither support USB PD - and will therefore only supply 5V to the adapter when connected to the USB PD power source. In context of reliability, while all devices can fail, Apple Adapters are arguably amongst the most reliable and well made as any - Belkin, by reputation, perhaps less so.
If you only concerned with connecting power, choosing the correct cable over the alternative of an adapter and a different cable will be:
- less complex - and therefore more reliable
- cheaper
Also consider that, subject to capability of the power source, the device being charged will charge at its highest possible charging rate without any additional restriction being imposed by intermediate hardware.
Equipping every power source around your home with an additional cable, to accommodate a single device (your iPad), is perhaps excessive. As you will presumably move your single "Adapter" to each location anyway, why not just move the cable to where it is needed?