Jimmy-
If you are non-ETOPs the weather requirements for en-route alternates are nil, as you only have to consider adequate airports.
From your quote-
for all cases where the planned route of flight contains a point more than 60 minutes flying time at the approved one-engine-inoperative cruise speed from an adequate airport.
If you are always LESS then 60mins from an adequate airport, you are non-ETOPS. Adequate airports have no weather requirements.