I believe the true competition joysticks are 8-way only -- some of the Happ competition "Style" joysticks sold do come with a bottom piece that can be flipped over to make it a 4-way.
Whomever is selling those sticks, seems not to have clue about these units. They are, if anything, "Super" style, and even though they claim, as HAPP does, that they are "4-way" when the restrictor is flipped, it does nothing more than make the actuator so small that it can't reach more than one switch at a time. IIRC, the same can effectively be done in the MAME, with certain configuration settings. Still a very poor choice when good 4-way control is required.
I think anything other than a good, dedicated 4-way is going to solicit wails of discontent from players in a Pac-Man tournament

.