I wouldn't for the following reasons:
1. more expensive than regular fans (no less noise, because AIO also has regular fans, power consumption is the same or more - you can calculate),
2. AIO leaks (poor assembly, vibration, wear, defects),
3. if you calculate and cut holes in the case in the right places and install regular fans, then the cooling will be no less (even more) effective,
4. If the room is warm, then the liquid will cool more difficultly (there is no external unit for heat removal in the AIO, like in an air conditioner, and if it is not brought outside, then the room will become hotter),
5. IMHO: AIO is a marketing ploy, an illusion of advertising, nothing more
Hmmm. When I see replies like this it often makes me wonder whether the poster has actually ever used an AIO. Have you ever used one?
However, just to counter some of your points:
1. This is untrue. Are you telling me that a Noctua NH-D15 G2, which costs about $150 is less expensive, than a good value 240 AIO. No, they are not. Will the Noctua provide better thermals than a good 240 AIO, no, it won't. As mentioned above in my first post, the Peerless Assassin is an awesome air cooler that provides better cooling performance than the Noctua, but for a fraction of the price. Can a good 240 AIO beat the Peerless on price, no. So, in that sense, yes they can be cheaper. But not always. Expensive units (whether AIO or Air) do not necessarily mean better thermal performance.
2. This is more of a misnomer than any factual information. Perhaps in times past, these issue would have been more prevalent. However, that was 10 years ago. It's not often that an AIO will leak, even if the pump fails or from years of use. You replace it like you would an air cooler if the air cooler failed. In addition, most good AIO's come with a 5-6 year warranty. Sometimes more. Same as most air coolers. Yes, there are some air coolers that have longer warranties, but in terms of quality and performance, the warranties cover most points of failure. I build systems for friends and family, and have used both AIO and air coolers. So out of those maybe 10-20 system with AIOs. Not a single one has failed as you describe.
3. So, just to be clear, your advising the OP to mod his case, to fit extra fans in? That kinda defeats the purpose, if you have to then add the cost of those fans to the cost of the cooler, along with a fan controller. But okay, whatever floats your boat.
4. Where do you think the warm air from an air cooler goes? Out the back of the case, and into where? Oh, yes! The room. There's a surprise!
5. Opinion is one thing. AIOs are not a marketing ploy, or an illusion of any sort. They are effective cooling solutions, which have benefits over an air cooler, some of which I have mentioned already. Aesthetically an AIO looks better, has a smaller internal footprint, have better heat transfer. I would then say for Air coolers, they have less parts that could potentially fail, so that can bring peace of mind to someone considering an AIO, but wanting to ensure not much else goes wrong over the lifetime of the cooler.
I'm not advocating for one or the other. They both have their benefits, and negatives. I'm simply stating that there are options available to the OP.
This is a nice article here on Tom's that gives a 'balanced' view :
https://www.tomshardware.com/pc-components/cooling/liquid-vs-air-cooling-do-you-need-an-aio-cooler
The conclusion sums it up very well:
In the end, if you value maximum CPU performance, low noise, and premium looks—and have the budget—an AIO cooler can be a worthy investment. If your priorities are cost-effectiveness and simplicity, a good air cooler is still worth considering.
But, like I said. Each to their own!