My multi mode pocket laser looks like that, but most emitters are not circular, so they will not make a truly round dot correct? And, most cheap lasers we see are not designed to be focusable, so we are used to seeing a tiny dot that is actually not perfectly round when you enhance it's shape by widening the beam.
Correct, the resonator in a laser diode is square/rectangular, so you'll don't get a perfectly round beam, even from a single mode emitter.
I have a question: I always thought my multi mode laser used a single mode diode, but had a regulator that controlled input current for the 3 brightness setings, and timed the on/off power to cause strobe effects. So what is this talk about multi mode diodes, and why are they beneficial over controlling the input of a single mode diode? I have seen in an avatar or two diodes with more than one gold wire attached, so I've assumed those are either multi mode, or some sort of high power diode.
You're talking about something else - that's power/operation modes. Those happen at the driver. We're talking about transverse modes.
Multi-mode diodes operate on higher order transverse modes. More power requires a larger emitter/resonator, which in turn results in multiple transverse modes being present in the resonator.
The bond wires don't really have anything to do with it, there's just more of them in order to handle the increased current required for a larger emitter.
https://www.rp-photonics.com/modes.html