Greek nicknames are closer to this description!! I can only compare them to nicknames in Spanish, where a [name_m]Juan[/name_m] would always inevitably get called [name_m]Juanito[/name_m] by someone (I don’t actually know Spanish and my knowledge comes entirely from my one Spanish friend so sorry if I’m wrong haha), it’s the same thing! If you’re asking your friend or acquaintance [name_u]Maria[/name_u] for a favour, you’ll talk to her like “Oh come on Maraki please 
”, using the nickname as a cutesy ‘term of endearment’. When your grandparents or their friends refer to you, they’ll usually use a nickname (me being named Celia/Silia, I was Siliaki or Silioula to most of my grandma’s female friends, even if I’d never met them).
I’m sure we’d respect it if someone told us not to use a nickname, but being nicknamed is such an expected thing (both casually and as a means of showing affection) that I’ve never met anyone who did refuse it, and I can’t imagine it happening 
And I can’t imagine not defaulting to using a nickname to show affection/closeness or to be friendly either!