I'm not sure whether you're saying you think your reaction would sound silly to us or that TAS sounds silly to you. If it's the latter, I'd say that TAS's silly ratio isn't substantially worse than that of TOS itself.
My reaction was the former. I've read quite a bit of Trek literature, and I've watched all five of the different live series, all four save Enterprise
in their entirety. I haven't watched TAS before, though. I don't know why I haven't done it before.I should. One reason is because elements of TAS (excluding "Yesteryear") have made it into Trek TV canon, never mind Trek literature. Without providing spoilers, I can say that Forgotten History
is the recent Trek novel that has the greatest amount of content derived from TAS. Watching TAS would provide some more background.