That's a Lynx, which is pretty small as far as helicopters go. They also didn't have a "heavy" equipment fit by any stretch.
"Nor did the Godavari class: 3,600 tons, heavy equipment fit, SeaKing."
The Godavaris don't operate in the North Atlantic. Note that they had to use a new larger hull to accomodate the heavy equipment fit and Sea Thing even in reduced sea states.
"4,000 ton monohull is ballpark of the size of the Type 42 or Type 22 or Type 23, and last time I checked they were able to operate Lynx sized helicopters in pretty robust weather.... "
And a Merlin, although barely.
"Certainly on a small vessel, loading too much top weight on is a recipe for disaster, and sensibly precludes the carriage of any kind of embarked helicopter. However, the fits being described are not excessive, a single VLS module, a light medium gun (the reason I specified 76mm vs. 114mm, it's considerably lighter) and a light MFR."
Those fits are not compatible with a small hull and a helicopter. Pick one or the other.
"If that were combined with weight saving and compromises elsewhere (which is why I think the top speed needs to be quite modest, so that it can be supplied by quite modest engines), then I doubt there would be any reason to imagine that helicopter operations are implausible. "
You've got that 100% wrong. Top weight needs to be counter-balanced by weight lower down. Decreasing the engine weight means you don't get a helo or a heavy equipment fit.
Kevin


I've just started a new post on an electric drive 20MW motor
Frigate. Feel free to post design ideas/thoughts there.