In almost all cases they will work, just slowly. There's always some power, and almost always some data (power-without-data cables exist, but they're very rare, mostly a specialist security thing).

If the power isn't enough to power a device, that's annoying, but it's strictly better than when we had a unique power cable per-device. We've replaced "carry a charger per device" with "carry one charger for your highest power device, and it can do everything else too". And even with just a low-power cable you can usually trickle-charge overnight or something.

The only optional feature you'll run into that may or may not work at all is monitor support. Would it be better to have a whole different USB-C2 spec which requires display support (and so is significantly more expensive)? If the connector is the same you have the same problem (it's just labelling) and if it's not that sounds like you've just invented display cables which your monitor almost certainly supports today anyway.