Because it actually isn't obvious and the methodology I propose is a viable and realistic alternative to the one you propose. Especially for a fish sized for a 10 gallon QT tank.
The way I am reading what you are proposing regarding the removal of ammonia seems to have a flaw by the way. Pardon me if I am misreading what you are saying but what it appears to me that you are implying when you say all of the ammonia will be gone using your method vs. mine is incorrect. The nitrifying bacterium does not instantly remove any and all ammonia in the system. You are also skipping over the equally or slightly less so harmful nitrite. Both will be present in the system to some degree as the Nitrosomonas convert the ammonia into nitrite and then into nitrate via Nitrobacters.
Both your method and mine will accomplish the same goal, no? That goal being reduction of wastes in the system that are harmful to fish. Yours does it via the nitrification process.
Mine does it via export and chemical filtration. My method, while arguably more labor intensive and possibly costly, is by far more expedient and requires little to no planning or advance preparation. Yours, while less labor intensive (this assumes that the sponge you would use for seeding doesn't require cleaning least it turn into a nitrate factory due to detritus buildup) and less costly, does require preplanning and preparation.
Furthermore it has been my experience that many fish purchases are 'impulse' buys (myself included though I usually research the fish before buying it just end up finding it out of no where and not planning ahead for it) and thus the foresight to have a pre-seeded medium for use. Ergo a method that does not involve nitrification bacterium on constant standby.
What concerns me here is that you are making the claim that there is no validity to my methodology. If that is not the case then you again have my apologies. If it is the case however and you are open to the possibility that I too may be right I will be happy to refer you to articles by several experts both in this field and others that will provide empirical evidence of the viability of my methodology so you can satisfy yourself that I am not talking out of my rear end.