Does anyone phrase it this way? Can we say “my work is far from my house”? Thanks.

Where I'm from, it's more common to hear "I work far from home" or "I work right across the street," using "work" as a verb, but I've heard this said as well.

Very common but not quite universal. More mainstream is "My office/store/shop is just across..." "I work just across...." or a little more formal sounding "My workplace...."

some do. i don’t. “i work far from my home” or “my office is far from my home” are preferable.

This is perfectly normal conversational English. In fact it might seem odd if you used "workplace" in this context. In formal written English, "workplace" *might* be preferred, but "work" is not incorrect.

Yes, you can say that. The example phrases are also common.

Yup

Plenty of people use "work" for "workplace", and you will absolutely be understood if you said "my work is far from my house".

To add to these comments. You could use it in place of "workplace" BUT I would never use a "the" before work. Fatigue in the workplace ~~Fatigue in the work~~. Fatigue **at** the work. Interestingly, if someone asked where I was, I might say "I'm at work". But I almost definitely would not say "I'm at the workplace" (although I would argue that this completely valid to say). Maybe I could say "I'm at my workplace" but to me that still sounds weird. I also couldn't say "I'm at my work".

Yeah that tracks

Yes and yes

If I was going to tell you about something that happened on my morning commute I might say "on my way to work this morning..." Or "on my way into work today..." If I wanted to tell you about something that my office has I might say "At work we have a..." Etc etc

Yes you can say both, i this context "My work" functions as a shorter form of "My place of work"

Do you think that the people writing the dictionary make things up just to mess with people?

You could say that, but it sounds less fluid than "Work is an hour away from my house". "Is far from" sounds like you're trying to be non-specific when there isn't any reason to not say the specific amount of time it takes to get to work, unless you're looking for a new house. With a new house, you may not know how long it would take to get to work exactly, so you might be non-specific because you know it is too far but not exactly. "I want to get a house that isn't so far from work" or "I don't even want to look at that house, it's so far from work."

I think you are using the verb work like a noun where it doesn't quite fit. You are more likely to hear "I work far from my house" or "My job is far from my house". When used as a noun, it would be specific (something created, like part of a project) or non-countable (the collected work in a project)

I’d say it’s “not close” instead of saying it’s far. We often refer to our commute time when referencing distance between home and work. Also we might call it our “job” or our “workplace.” I have a long commute. My job/workplace is far from where I live. I have a short commute, because I work from home! Haha!

Yes that is correct

This sentence in particular feels kind of weird, though not incorrect. In general, though, yes 'work' is often used to refer to one's workplace.

It sounds perfectly fluent and normal in my variety of British English, but I wouldn’t say it like that now as I live outside the UK so I tend to use more standard grammar where possible

Sure

Yes - I work in an office, but I almost exclusively refer to it as "work" instead of "the office". * My work is right around the corner from here. * My work is right up the road. * In my GPS, I have the location saved as "Work"

I'd sooner say, "I have a long commute"

A word to the wise: there are times when one must make distinctions between workplace and the location of the actual work itself. For instance, when I was a driver my workplace was relatively close to where I lived. The work was often far away. People would ask, "Do you work nearby?" And I would tell them, "My workplace is nearby, but my work usually isn't."