Having a h380 as well I would suspect the chaeto got "cooked" as I had a similar issue until I raised the light a bit and increased flow. That light has serious power (90w) in a small area and it's hot to put your hand in front of it. I have heard for years about how chaeto dies from heat if touching a heater as well.
It might not seem like a big difference, but I do think it's helpful to state that the chaeto can be overheated pretty easily, but it's not really bleaching from too much light. It really grows quick in 1500-2000 PAR just have to keep it cool.
I think these debates over efficiency tend to get a bit silly. So are we talking about purely which algae grows faster in any conditions? Or are we talking about in a scrubber how much flow and wattage of lights? All the same? How is the scrubber powered, from the drain or with a dedicated pump - if dedicated pump should we talk about increasing the wattage on the chaeto so the total watts of the system are equal? How about expandability? Something like a h380 or Chinese black box can cover a very large area - if looking at the total export capability for the wattage of lights that is going to be hard to beat if you have a huge sump. How does each perform if you have the power out for 2hr, how much work is the upkeep and harvest? Potential for clogging? How about growth rate after harvest - I can pull out various percentage of chaeto from a sump just fine. How is a scrubbers uptake when the screen is cleaned? Clearly it will not have the same export at that time.
There are pros and cons to most things in the hobby, just look at each with an open mind and remember there are many things to consider. Look at peoples tanks that you like and check their export system.
Then we have to ask, does it even really matter? Ideally for either system we want something that can handle the bioload with good general maintenance. Neither one of these if going to make a neglected and overfed, overstocked tank perfect for huge acro colonies. If you have a suitable export system, which there are plenty of examples of what is working for people with different bioloads, who cares if you have two tank next to each other have different systems but each is .01 phosphate and 1ppm nitrate? Each system should be considered on its own for export sizing - maybe this scrubber can handle 1 cube a day and so can this fuge setup or chaeto reactor. Great, now pick which one you feel complements your system best. As I said above it gets tricky to define which one is really more efficient even in this scenario.