This doesn’t work to avoid thrashing. The kernel may invoke the OOM killer slightly quicker if you have no swap, so I guess that can sort of help, but it doesn’t properly solve the problem.
On Linux, there’s a thing called the page cache (aka disk cache): Every time (part of) a file gets read to or written from, that (part of) the file gets copied to RAM. The file is then kept there unless that RAM is needed for something more important. It is cached in RAM. But since it is also on disk, the kernel can drop the file from RAM anytime it wants.
If you’re low on RAM, the kernel therefore evicts all of the disk cache, because it can, because those pages can be reloaded from disk if needed. This means it will drop all the programs you’re running, the binary code. So any program you’re running is constantly interrupted, because its code is not in RAM.
So it runs a couple of instructions, but oh no! Call to function foo() from glibc, but guess what? That’s on disk. Queue wait for the kernel to load that. Oh now it wants function bar() from zlib, shit! Need to load that. Since loading stuff from disk is about as slow as running like a gazillion instructions, all your programs are like 1000x slower now.
This happens even with zero swap.
The correct advice is the one from @RedWeasel: install/enable systemd-oomd or earlyoom.