One of the more realistic reasons the Xbox 360 has a better tie ratio compared to the PS3 is the fact that on average, every Xbox 360 includes at least two - three games. Where as prior to the PS3 SuperSlim, typically the most number of games bundled with a console was one or two, but the majority included none.
If you look at the holiday bundles both companies are coming out with, the Xbox 360 bundle will include 3 games. One retail box, one downloadable, and one included on the HDD. The PS3 SS will include 2.
So, to match that tie ratio Sony has to sell three consoles for every two Xbox 360s that Microsoft has sold. In the long run that doesn't work in Sony's favor. If someone buys a Kinect as well, that ups the tie ratio from 3 to 5 with the new Kinect bundle Let's assume that someone buys Move, which includes one game, now for every 3 consoles Microsoft sells, Sony needs to sell 5.
The free games with the PSN+ subscription, as another commenter aptly pointed out, actually works against Sony when it comes to the tie ratio. Because gamers can get games for free, even if on a temporary basis, they're less likely to buy a game and opt to play what is available for free first.
Nevertheless, your opinion is a logical fallacy. I know several gamers that quickly go through games because they have only a given amount of time to play a specific game before one they're waiting for is available. My nephew, for example blows through games faster than I can. Where as I may spend 1000 hours on a game, getting every achievement possible and buying all the DLC, he flies through the main game getting all or as many achievements as possible. Games he really likes he plays longer, and some games like Call of Duty he plays continuously until the next version comes out, but I spend more time on each game than he does. My completion rate*, last time I checked, was still better than him, but he plays more games from start to finish than I do.
But his mentality is he has a limited amount of time (in many situations) before the next game he's interested in getting, so depending on what's been released and what's coming out, he bases the amount of time he spends playing a game. He plays RPGs longer than most games, but specific FPS he plays frequently for a year or more.
Again, me, I tend to squeeze the most out of each game attempting to get every achievement.
* The completion rate is the number of games you've achieved 100% of the achievements, including DLC.
Finally, the reason the Xbox 360 has such a strong tie ratio is because for millions of gamers, the Xbox 360 is their primary console and they consistently buy games for that console first and foremost. That may not be every Xbox 360 owner, but for a significant majority that is true. I mean when a game like Call of Duty sells 4:1 over the PS3 on the Xbox 360, you're gonna have a stronger tie ratio with the console. There are a host of games where the Xbox 360 sells consistently more on that platform than on the PS3. There are less than a handful of games where the PS3 has sold better, and the only one to have a significantly greater tie ratio is FIFA, but it hardly comes close to the sell ratio of Call of Duty. Even Battlefield 3 sold better on the Xbox 360 than it did on the PS3, and the PS3 was the primary platform with exclusive deals.
And where your rambling opinion is an uneducated, logical fallacy, the fact that games sell well, and that they get played actively on the Xbox 360 is pretty evident when you look at the Xbox LIVE Online statistics that are published every week. That's pretty evident that Xbox 360 gamers don't get bored with their games, but rather play a wide variety of games.