Your perspective requires too much reaching. The kids powering up individually is a reach, it's never stated. Piccolo knowing that Gotenks SSj Pre is stronger then Innocent Boo is a reach, it's never stated. The effective of the dance resulting in gains not being what Akira Toriyama had in mind contradicts his interview, therefore arguing the opposite is a reach. Piccolo sending in the kids regardless is a reach, it's never stated.
This is why the faulty crap that is Gotenks logic is sheer bullshit and doesn't work. I prefer my own explanation and ideals. They fit with the story and make much more sense and does not require all the reaching.
In short I'm arguing:
Piccolo makes no comment on the kids individually, he doesn't notice a difference in power. And because they have to be at the same power to form successfully, means that he didn't notice any difference regardless. Therefore fusion does not scale linearly. Piccolo then ascertains that the kids performed it perfectly, far better then beforehand; this results in a greater fusion and increased strength for Gotenks.
Whereas your argument suggests:
The kids clearly powered up individually, but we have no statement to suggest that it's true. Despite the kids being at the same battle power before performing fusion, Piccolo fails to tell us that this battle power is greatly different from what it was beforehand, but who cares. Gotenks arrives and he's much stronger then before, because fusion scales linearly. Albeit, the boys didn't surpass their previous SSj form in Base.
Nonesense.
In short, I'm arguing:
Super Boo showed up and Piccolo didn't immediately send them into the Rosat because they still had a full day left to perfect fusion.
Whereas your argument suggests:
Piccolo was going to send them in regardless. This is what I think even though nothing supports it. It's not stated but who cares.
Nonsense.
So no, I won't buy your bullcrap. It's too faulty, has plot holes and requires all the reaching. If your ideas were more consistent with the story I would give them more thought, but as of now, they aren't. You're welcome to have the last word, but that won't take away from all the loop-holes your train of thought creates.