Yes and No. If the idle is too low or it's trying to stall it's only natural to assume it'll take a second to catch, but it may be an unrelated issue. If it doesn't run right it can't be driven so the transmission may or may not be a secondary issue.
It's hard to teach knitting over the internet.
I would personally try the IAC and then see how it shifts. If there's still an issue I'd add a quart of Lucas' transmission treatment. I don't know how they make it but I think the main ingredient is pixie dust.