I use a green bullet through a fender bassman but can never get the volume high enough due to feedback. Other mics don't do this, but don't give anywhere near as good a sound as the bullet.
The Green Bullet is an omnidirectional microphone. The "other mics" you mention are likely unidirectional. In rock and blues performance, where the onstage level is loud, unidirectional mics are employed because they typically provide more gain before feedback.
The Green Bullet has always been omnidirectional. If the design was changed to be unidirectional, the Green Bullet would no longer sound the same and harmonica players worldwide would revolt.
Below is a link that discusses feedback and possible solutions. Please check below: