Should birds be forced to come out of their cage...
My two boys have only been out of their cage once (30" tall/19" wide/12" deep) and that was forced. After shooting around and crashing into everything in the living-room they quickly and i suspect with some relief (on their part) they returned safely to their home. They eat well, play with each other and otherwise seem quite happy. When i leave the door open apart from the initial curiosity they seem more bemused as to why there's suddenly a gap in the wall and they're unable to climb across like they usually do, but they make no attempt to fly out.
I'm not going to force the issue if they're happy.
No -- you should not force your bird to come out of the cage.
You can provide a playgym and some enticements to encourage them to come out though.
Placing a playgym nearby or on top of the cage with some favorite toys and treats on it may help peak their interest.
I agree with Deb--some budgies prefer the safety and comfort of their cage to the uncertainty of flying around
You can use the techniques Deb said as well, making the outside world more enticing. Maybe someday they'll surprise you!
and Princess Mallorn!
Thank you to Deb for her wonderful Faery magic