If the bathroom vent can t get any air of course it isn t going to work the right way.
Gap under bathroom door for ventilation.
If more gap is required it is easier to trim a door than to lengthen it.
A 10mm gap under the bathroom door is very usefull it allows the fan to work easier as it can draw in air and because its from within the house it stops the bathroom.
There is a need for an air gap at the bottom for ventilation.
There is an approximately 1 5 gap at the bottom of the doors.
There should be plenty of room under the bottom of the bathroom door to allow air to get into the room so the fan has a source from which to pull the air it needs.
My contractor just hung our fancy dancy un painted solid wood door slabs in my 100 year old house with solid hardwood floors throughout.
My mom has a house with a central return and as you suggest her doors have about a 1 5 gap underneath to allow air to flow.
I like the suggestions for wall ceiling jump ducts etc.
And for proper bathroom ventilation your exhaust fan needs to vent outside not into the attic or another area of the house.
I think it is too big and think a 1 4 1 2 gap would accommodate any unevenness in our floors and allow us to use area rugs.
Using the link you have provided it has a picture of a french full lite door with a vent that has removed a significant part of the door s base.
If your door has very little or no clearance at the bottom you.
However the size of that gap is very unlikely to be greater than 1 2 for any door.
I have a problem with the door vents you are passively promoting.
Check your bathroom door.
Client always resist 1 gap over the floor covering.
The flow dropped from an unrestricted 150 160 cfm down to under 100 cfm in each room.