There are various notations in the wiki that are considered as ''beyond standard ordinal notations'', because they go beyond OCFs with weakly compacts, which is the largest type of ''standard ordinal notation'' understood by googologists. No one seems to know for sure how higher OCFs work, and the only alternative, which would be TON, is too complex for practical use.
So, we should try to create at least ''fan extensions'' to OCFs that the whole community can use and agree on - and, even though there already exists extremely strong notations like SAN and BMS that can be used to replace FGH for the higher ordinals, it seems more convenient to simply continue with the OCF systems, since the higher-level notations work differently than OCFs, whether it's a considerably minor difference (e.g SAN) or a more major difference (e.g BMS).
We can start by well-defining and incorporating stage cardinals, and then building up from there. What do you guys think?