I know that's what it shows, but not why you think it's relevant.... thus my question.

No answer here but I need to set-up a whole house system soon. We are on city water that comes from an aquifer but there are lots of minerals in it. The minerals eventually destroy anything they run through - toilet valve assemblies, faucets, dishwasher, clothes washer etc (I've had to replace a lot of these already). A lot of our neighbors have systems to prevent this - I just don't have room in my garage to get one installed at the moment (too much wife and kids junk - ugh).

In reply to the OP’s questions:
Yes, I went out of my way for filtered water by buying a whole house filter. The picture of the pre-filter cartridge justifies that I was correct assessing my tap water isn’t very clean.

Yes, I think the picture clearly shows a measurable benefit. All that crap has been removed from my water. My laundry is cleaner and no longer smells musty and I have no issue drinking my filtered water. It tastes pretty good. I have a countertop hot water appliance for making coffee. I no longer have to descale it. My shower head stays clog free, as well. The chemicals in a pool and possibly the ocean water I swim in is somewhat damaging to my skin and hair, I shower very soon after and, this may be just mental, but I feel better that I didn’t simply replace bad stuff in pool and ocean water with the bad stuff in my unfiltered tap water that stays in my hair and skin the rest of the day, and night.

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Proud member of FISHTWITCH: doing a bit more than fish exercise now.

The picture doesn't clearly show any health benefit IMO, although it did look like a lot of lime accumulated on the filter. Lime is not unclean so the picture didn't show your w aster wasn't very clean.
You've got hard water. Thus limescale is accumulating. That's not much of a health issue. Your tap water is probably fine for drinking, that doesn't mean it tastes great or leaves your washing machine pristine.

In short: You posted pictures that demonstrated little and you said almost nothing. You seemed to think something was amiss, so I asked what you were implying. Excessively hard water can be annoying but it's not bad for your health as far as I'm aware.

I never saw the word ‘health’ in the OP. Just benefits.
I stated several benefits. I’m done, thank you.

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Proud member of FISHTWITCH: doing a bit more than fish exercise now.

Have considered a bunch of things.

Whole house filters did seem "insane", especially RO that requires energy to convert water and creates waste water while creating RO water. Then you're left with water with zero minerals which is a drinking water that will leach those minerals from your body.

Yes, there can be low to high amounts of organic solvents in the water depending on the locale, time of year or circumstances. A water filter system helps to take care of that.

The Berkey I use can handle water from a number of sources. So in case of disaster, I could go to closest natural water source and supply a community. Or at home, it takes care of tap water. I don't use bottled water. I do clean/wipe the build up off the filters once a month. I had experience with the Berkey years before and again chose it over smaller filters or refrigerator filtration. I also like my water room temperature.

Lots to consider to cover some of the bases that you mention.

Not trying to convince anyone to buy a Berkey or filter their water. Nor do I want jerks to slam me for my choice in doing so. It's in the personal preference range, a rather harmless activity and purchase under $200. So if some have a problem with it, they need to get a life. Maybe a commie socialist would wish to manage my life to this level of detail and keep me on community water. bahahaha Or just an overbearing person with passive aggressive control issues if we leave politics out of it.

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Indoor Triathlete - I thought I was right, until I realized I was wrong.

Can't be of much help hear with no direct experience. Would not recommend a whole house RO system (remarks posted earlier to DarkSpeed) from what I've read.

Are you thinking of a water softener type of system? That I have heard of people doing and they say it is worthwhile.

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Indoor Triathlete - I thought I was right, until I realized I was wrong.

Yeah some neighbors use water softeners, others are using just filtration and others are using a combo. I don't think anyone is using an RO system but instead are using filter systems where the water flows through various media and the minerals and junk are pulled out of the water. Eventually you have to flush the system and/or replace the media (like in a pool filter). I haven't really dug into it 100% yet, I just know that the calcium deposits are wrecking everything that uses water. I'll do some more research for sure, thanks for the advice.