Or the fully fuelled Lynx could take some drummed fuel and a Zenith Pump to top up at SG (assuming no fuel there) and then the ship could have done a 180 and be steaming FI-wards to take advantage of the (new, increased) PLE of the Lynx.
When one was working in HQBFFI (many years ago) someone had attempted to write a definitive answer to this question and put it in the "Contingency Planning" book - an answer which of course does not exist! (and it was Sea King and HIFR in them days)
There are too many variables, most of which have been stated above: weather, light, servicability, and the reason for the evacuation. In the end we just put a list of assets and capabilities in the Book, with the message - "don't rush - let the SMEs work it out on the day!"