I'm pretty sure it's "run as many threads as there are cores" mode, though if you're running it in a terminal I always find it best to use nproc-1 or -2 so the machine actually stays usable.
One of Perl's design principles was the Robustness principle, though it probably wasn't known by that name at the time. (The name came about around the same time Perl was becoming a thing, something something zeitgeist something.)
Perl can be locked down and made to complain (with at least a couple of levels of pedantry) when things are wrong, but unlike most other languages, it doesn't do so by default.
I believe the left hand is a shell fork-bomb, on the assumption that anything that zany is probably malicious.
And the right hand is a way to tell Make to use up all available system resources:
"-j [jobs]’ ¶
‘--jobs[=jobs]’
Specifies the number of recipes (jobs) to run simultaneously. With no argument, make runs as many recipes simultaneously as possible. If there is more than one ‘-j’ option, the last one is effective. See Parallel Execution, for more information on how recipes are run. Note that this option is ignored on MS-DOS."
Edit: I think the make command is technically only a problem when run for a Makefile that tries to do too many things, and has at least one mistake in dependency controls. So... for every Makefile I ever encountered (or that I ever wrote!)
You are correct, left hand is a fork bomb. Specifically, it creates and then runs a function named ":". What this function does is pipe its output into itself while running in a background process, which instantly spawns infinite copies of itself. Technically I believe the : character could be any character as its just a name. The creator just picked a colon for aesthetics.
I think it can also get weird when you call other makefiles, like if you go make -j64 at the top level and that thing goes on to call make on subprojects, that can be a looooot of threads of that -j gets passed down. So even on that 64 core machine, now you have possibly 4096 jobs going, and it surfaces bugs that might not have been a problem when we had 2-4 cores (oh no, make is running 16 jobs at once, the horror).