I'm not trying to start an argument or anything, but I'm not a big believer of cleaning equipment immediately after use. It certainly won't hurt, but I'm not sure how much you'll gain.
You throw your ball down the lane over and over 2.5 hours, only removing the oil with a towel, micro fiber or not. Somehow, the ball must be deep cleaned immediately - it can't be done after a 20 minute ride home? I get to not wait until a week later, but I'm not sure there is a huge benefit in doing it right after the last shot is made. Modern balls need lots of maintenance, but they don't need to be treated like new born children.
I'm not trying to convince you, (I am trying to help the original poster) but, I guess I am, in a way.
These new coverstocks absorb oil very, VERY rapidly. If you, like many people, give the ball a quick wipe when you pick it up to bowl the next frame, you are removing oil laying on the surface about to be absorbed. Cleaning the ball after league is over takes maybe 30 seconds. Odds are if you don't do it then, the oil will be absorbed. It's not a lot, at that point in time, but over the course of months or so, the amount does increase. Since you didn't do it then, you're not likely to do it later or after the next league session. Let's be honest. Been there, done that. (Or rather didn't do that.)
This habit has showed positive results recently when testing a friend's new invention, an oil extracting oven. It took me 10 balls of ones that I had used a lot over the past 2 - 3 years, before I found one that gave up its oil. It was a much older ball, 5 - 7 years old. The others, even though they all had 80 -150+ games on them each, gave up no oil and I was wondering about my friend's invention. I need not have worried; it worked fine. I just prevented my bowling balls from absorbing oil by my cleaning regimen.
All balls lose reaction through BOTH oil absorption and changes in the surface finish via use. How much we see and recognize may be reflected in the amount we use these balls regularly. Seeing tiny changes over time is or can be very hard to recognize. Only by comparing to a newly extracted AND resurfaced ball or to a new one, can we really see the changes in a ball's reaction.
I can only suggest it is beneficial to do something similar to regular cleaning to insure we need to buy a few of these expensive items as possible over the course of time. What you choose to do is up to you.