Poor Courage, this is what you get for asking for advice on the interwebz!
Here's what I'd boil our experience down to most simply:
It's better, on average, to put fish into a tank with no ammonia or nitrite, than it is to put them in a tank that does have ammonia and/or nitrite.
For sensitive fish, this may really matter. For sensitive fish owners, it may just make us feel better.
For the hobby to be fun, my fish and I both should be happy, and for me that means not biting my nails worrying that my water is hurting my fish. I try to generally be clear in my posts that I am particularly risk averse so there is not confusion between the two factors.
Figuring out how we get a tank to have no ammonia or nitrite has a number of approaches. To be perfectly frank, I'd say I'm disappointed with the performance of Dr. Tim's. While it doesn't pretend to be an instant cure, the time it has taken us to go from ammonia to 0 ammonia / 0 nitrite has been significant in all cases and I am not sure whether the marginal improvement if any is worth a purchase. If I were ever setting up side by side tanks again, I'd experiment. That is (hopefully) unlikely in the near term. The jury is out on this one, in my mind.
All I can speak to is personal experience, which is that the addition of seasoned media has not been sufficient to eliminate ammonia/nitrite in a short window. And what I see many times is the advice is, "eh, squeeze a sponge filter in there, you're good to go." Whereas there are some anal retentive, risk averse hobbyists like me that will be clinging to their test kits and worrying about their fish and not having fun.
Side note, too, while water changes are a panacea for many, many things, the fact that we have chloramine in our water most of the year, which as I understand gets nicely broken down (probably the wrong term, I am emphatically a very poor scientist) to ammonia which gets converted to more nitrite. Are water changes therefore just hurting my cycle? I'll confess to not knowing how this works.
I think the OP's basic questions have nevertheless been answered.
Ultimately, I'm here to exchange ideas, not to bicker; to enjoy keeping fish and to be part of a community that supports that. The blog is what happened when I got tired of chasing multiple fish log notebooks all over the house. Yes, I like to track stuff. It suits my orderly side and has occasionally even proved helpful. It's nice to be able to look back at timely notes on what happened, rather than a recollection of what happened. To me, this is just another stylistic element; we all have different ones, and it seems like the most important thing is seeing past that to offer up multiple perspectives that suit multiple styles.