I have a small en-suite, around 1.7m x 1.6m.
Currently, there is a Vent Axia 4" fan in the wall opposite the shower enclosure.
It extracts 108 m³/h.
The en-suite gets steamy and the wall near the fan gets damp.
I've just been quite involved with my bathroom extract, recently. First let me say, we have zero moisture/mould issues at all, in the bathroom, despite using it for very regular baths and showers. Layout is bathroom on the lee side of the house (north/east corner), fan mounted on north facing wall, window faces east. Open the window, and if it's windy, air is sucked out. Bath, with electric shower above, is installed alongside the north wall, shower at the west end. The 4" fan is mounted high on the north wall, at the opposite end to the shower.
Originally, the bathroom had one of those silly window mounted vents installed, with a propeller. When I installed DG, I thought it best to add a proper electric fan, to ensure there was ventilation, to avoid any mould - but I only did half a job....
There had been a through the wall vent there before, except filled and plastered over on the inside, with a double brick vent on the outside. So I simply drilled through from the outside, to reopen the hole up, to fit a fan. Rather than fit a proper cowl to the outside, I made the poor decision to simply drill the holes in the air brick, much larger, and add a plastic pipe to line it through the cavity. It was a bad decision, because it caused lots of back pressure, making the fan much less effective. Besides which, I was struggling single-handed, and coping with an ill partner. Nonetheless, there was no problem with mould, so it remained like that for over a decade.
That fan, stopped working in the spring, not really a problem at that time, because the window would generally be open anyway, but a week or two back, I got a roundtuit to investigate the fault. An easy fix, just a failed resistor, in the supply to the controller. It is a PIR/timer/humidity triggered fan.
Having repaired that, I realised how poor the extract flow was, so I then set about (with Avril's help), knocking a hole through the air brick, and fitting a proper cowl, and sealed pipe on the outside.
Whether by design, or fortunate accident, I see that all the homes on this road, are laid out, despite five different designs of layout, including both sides of the road - with their bathrooms on the lee side of the house.
So I would suggest that the wind direction has quite a large part to play in keeping bathrooms free of moisture and mould.