Thaddy, he's referring to the FileDate as returned by the server (so yes, the timestamp of the file in the server). Synapse converts the relevant part of the response string to a TDateTime but since (according to a previous post) the server returns only "hour:minutes" in the string, it sets the seconds to zero.
The thing is that Filezilla apparently
gets the seconds from somewhere, hence the OP's question.
Or maybe you're right and there's a confusion between the timestamp in the server and the one in the client. In fact, looking at the example's date/time along with the date/time of the original post can lead to that conclusion. Hadn't noticed before