We still have the same go/no go authority, it's just that the weather limitations are different. Fundamentally we still have the same power to refuse a flight on any grounds, it's just that an airline pilot has to be really sure of the decision, but on the flip side they have more guidance in the Ops manual to help with the decision making process.
For instance, if the wind is greater than 40 or 50kts, alot of aircraft wouldn't be allowed to open or close their doors, so the decision is an easy one. No go. I have wx criteria in our flying order book. It is different for different levels of experience, but basically it gives a limit to what people are allowed to fly in. The same as an airline ops manual. The figures are just lower.