Oh. now we're getting into how much safety can I afford! I'm not going there.
Is your life worth more than $100? Or to be less dramatic, are you adding more risk than $100 can fix?
Bruce, Nate... To a point I agree, but those statements can be taken to an extreme, and when taken to an extreme, they just don't work.
For example - Let's say I have unlimited money.
First, let's start with me. If I had a BFR two years ago and an IPC six months ago, that's not as safe as if I had a more recent BFR/IPC. So, let's say I get a BFR/IPC every three months - That's safer, right? Okay, but if I get a BFR/IPC *every* month, that's safer yet! Taken to the extreme, I get a BFR/IPC every day... But at that point, not only am I probably adding more complacency than proficiency, I'm increasing my exposure to potential emergencies by flying so much! So, clearly there is a point of diminishing returns. Flying regularly, keeping one's own skills proficient, and getting a workout with a CFI every 3-6 months puts one in a very good position for safety.
Now, let's talk about the airplane. Nate flies a 35-year-old normally aspirated single from a high-altitude, urban airport near the mountains. A turbocharged twin like Bruce's Seneca would be "safer" (assuming the pilot is proficient enough)... But the nice new turbojet that Mari flies out of the same airport would be safer yet, right? So, Nate, why are you flying a single? Bruce, why are you flying a piston? The jet would be safer, so now we're deciding "How much safety can I afford?"
So, if I had unlimited money, I could buy a 747-400, have it outfitted just like Air Force One, hire the crew from Air Force One, and I'd have the safest plane in the sky, right? And I would love to do that, and it's clearly safer than what I do now by far, so I'm deciding "how much safety can I afford."
In all of these arguments over whether something is "safer", we ignore the fact that there lies a line where further "safety" reaches a point of diminishing returns and, taken to the extreme, would and should cause us to stop flying altogether.
From an engineer's perspective, I argue that there is a line where an operation is "safe enough" and that is what we all aim for - And each person's definition of that line is going to be somewhat different, too. In fact, each person's definition of "safe enough" changes based on their own experiences.
Using the last 1,000 feet of a 12,000 foot runway? Probably lies in the realm of "foolish" for most pilots and planes. Using the last 3,000 feet in a light single when there's nothing but a sod farm off the end of the runway? Probably okay for most folks. Using the same last 3,000 feet in a heavily loaded Seneca with trees/houses off the end of the runway? Probably a bad idea. Using 6,000 feet in that same Seneca, with the "sod farm" example? Maybe OK. Using 9,000 feet in that situation? Seriously, if someone can't do that safely, they need to go get a workout with their CFI.
For all but the most heavily loaded, large airplanes, that last 3,000 feet (ie, using the entire 12,000 feet instead of "just" 9,000) probably does not add any significant level of safety. Put another way, the change in safety between using 9,000 and 12,000 for any piston driver is insignificant.
Back to the OP, we're talking about a 172 and 4,000 feet of paved concrete, with two other runways. I'd say it's a judgement call. 180hp 172, solo, 3 seasons a year (JVL is in Wisconsin, after all) that 172 should be able to get back down on a runway with an engine failure at any point, assuming a reasonably proficient pilot. Now, an old 145hp 172 on a hot day, heavily loaded, maybe the extra runway is a good idea.
Clearly, there are very few absolutes in aviation... But some here are trying to create them. Sorry guys, it doesn't work that way. Without absolutes, we develop and use
judgement to make these calls.