How literally should I take the Shimano compatibility tables? They seem OK about compatibility, but are not detailed enough about incompatibility.

I have a bike set up with 4500 kit running 2 x 9 gears which I want to convert to 3 x 9. I have a 4503 triple chainset, a 4603 LH shifter and a 2303 triple FD which I would like to use.

Will I have any compatibility problems? I don't find the answers I need in the compatibility tables.

With my older mountain bikes I just mix and match with no problems, but this is my first fairly modern road bike and I'm not sure if I'm over thinking it.