Well. that's not the whole story. It is even incorrect. E.g. fpc-db and therefor most database components rely on these database libraries being installed.
Which is certainly NOT the case . The LCL depends on many third party libraries. Just the basic controls have no dependencies.
Same goes for many more. So that statement is false, unless you are able to link your program fully statically which is not always possible.
So basically: if it is possible to link everything statically, do so and you have no trouble distributing your application, but if you rely on third party dynamic libraries (dll,so)such as database software and communications software (openssl) make sure these are either documented as *must install* or part of your distribution.
Skalogryz statement may bring you into a false sense of security. Over half the packages in the FPC distribution alone rely on third party libraries.
He should not have written that and he knows it now. He knew it already.