Yes, the Airbus increases/decreases speed automatically based on encountered cruise wind.
With regard to FD's - yes we follow them on the ILS for example, as they are intrinsically linked to Autothrust. If you wish to fly visually the drill is both FD's off and "bird on". The A/THR can remain engaged if you wish. The "bird" is a symbol on the PFD which shows your climb/descent angle and you track over the ground -very useful.
A4