Whereas a one time capital investment is final.
But it's not final. Technology is always changing and what is good enough today will not be good enough tomorrow. For example, the less expensive cabling/equipment would not even be good enough for proper 4K distribution. You'd have to go bleeding edge, and it may not even be available for the distances and options involved in this discussion, or it would be so expensive that, when amortized, it would far exceed equipment rental costs.
Something else will come along and make the "one time capital investment" you mention obsolete. Just ask all the people who installed in-wall composite video, or component video/analogue audio, etc. Even expensive wireless options will become obsolete as the technology changes.
I know this because I've got a 25' run between my audio video equipment and my TV which acts as a monitor, see my HT link in my sig. I've had composite video, better composite video, component video, HDMI and if I wanted 4K signals to my 4K TV, I'd have to change out my HDMI. Luckily for me, my run is (relatively) short and is easy to change, since it runs behind a baseboard and the costs have been minor during each cable change. I can barely imagine the costs involved when multiplying this by four, over long distances, making the installation and equipment/cable costs exponentially larger.
To top it off, all four locations have to watch the same programme! That's just silly.