I agree with others, that it is never a good idea to force a budgie to come out of it’s cage just because you’d like them to.
Regarding the first 4 days; sometimes budgies seem to be more tamed than they really are, out of submission and underconfidence in a brand new environment. Then when they start feeling a little more comfortable, they will let you know when you’re “too close for comfort”.
The person you got your budgie from is incorrect about needing to establish dominance. Taming and training has nothing to do with dominance for birds. Birds are prey animals, and you must earn
their trust. But before you get on to trying to tame, we advise limited handling in the next couple weeks. Be calm around him, look at him with no hard staring like a predator, talk softly and reassuringly, watch your budgie’s body language and respect when he’d prefer you back off. Your bird needs to settle in his new environment, and observe his surroundings in order to gain confidence, without feeling pressure from you to do more than he is comfortable at the time.
Keep in mind too, that even having a budgie “hand raised” and hand fed as a chick, doesn’t guarantee extreme tameness or a closer bond than starting with a wild budgie. The benefit is that they aren’t AS freaked out by humans as a truly wild budgie would be at first. Regardless of starting wild or hand fed, some budgies will become close human companions over time, while others will let you know their boundaries.