I guess it depends on the OP's appetite for DIY, and potentially taking side trips that cost time, some $ and materials but don't resolve the issue. The point of doing diagnostics is to try to learn what the real problem is, therefore suggesting one or more targeted solutions. In my experience, that nozzle check pattern is pretty well a definitive diagnostic for head failure. If it is a dead head, then none of the other actions will bring the printer back into service. If it was my printer, based on what I know I would consider it not open to question right now.
These other tasks may be useful to do in their own right, and I'm all in favour of LFP owners getting their hands dirty with their printers and learning to do good maintenance. It can add years of productive life span to a printer. I've done it myself, and it's rewarding to reassert a measure of control over the health and productivity of the printers I work with.
I've also taken the opportunity (as recently as this past weekend) to experiment with various things on a printer that I knew had a dead head, on the logic that I was "in for a penny, in for a pound". Since I'd be calling Decision One in anyway for a big ticket replacement of the known failed head, I could afford to experiment and not cost myself that much more if I pooched something else and had the tech fix it too.
So really in this case it's the OP's call whether to experiment with other stuff like dampers, the capping unit, and so on, just in case. But having seen this situation several times, unsuccessfully tried all kinds of other remedies, and if the objective is more like "get the printer working again as quickly and low risk/cost as possible", then I'm pretty confident the head will have to be replaced anyway.
I have an 11880 with a dead head right now, and it has had a new cleaning unit and new dampers installed within the past few months. I will be calling in Decision One to replace the head, after which I'm going to keep the old one and do some closeup photos of the failed section. I want to see if there's any visible signs that could further help definitively ID this kind of failure...