To expand on another good comment: space was precious. Really precious. If you were only a kid in the 90s you will have a hard time appreciating it. (But then again ancient UNIX greybeards will say the same to me, I guess...)
For example, my first computer was Apple II. It had 48KB RAM and 12KB ROM which contained initial bootstrap code that corresponds to BIOS, plus a Basic interpreter, plus a REPL tool with disassembler. All of that, in 12KB. The main page of Hacker news is about 42KB, not including icons and HTTP headers: it's already about three times a BIOS+Basic interpreter+disassembler.
And the monitor only had 40x24 lines (or maybe 40x25, it was a long time ago). Nobody's mad enough to waste two columns, out of 40, just to print two digits that will be forever stuck at 19.
As another example, around that time Turbo Pascal was immensely popular, and every string started with a byte showing its length: so no string can be more than 255 bytes. Good enough: what kind of madman would waste precious memory on a string more than 256 characters?
If you go back to that period and think about the environment, using 4-digit years will be considered a madness, not the other way.