It only has to be lined up well enough to be read by a human, they don't reject them just because it's sloppy or not lined up correctly.
I'm an American and I've used envelopes that have lines to write addresses on. I used to see them every now and then. In fact, I have about half a box sitting in my filing cabinet next to me that I probably haven't used for years.
Many envelopes don't have the lines, though.
AFAIK modern Russian ones just say "Почта России", but the overall design is retained, including pre-labelled lines for various parts of address.
https://help.royalmail.com/personal/s/article/How-to-address...
My father writes the address staggered; that is, each subsequent line being indented a centimetre or so relative to the previous line. Were you taught to stagger the address at your school in the 90s?
Now that I'm reminiscing a bit, it was also fairly common at the time for people to order a batch of sender labels that they could affix to the envelope. My grandparents had particularly distinctive golden metallic labels which meant you could instantly tell who it was from (if you didn't already recognise the handwriting).
The envelopes I'm used to look like this: https://ru.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BD%D0%B2%D0%B5...