I consider a game close if it goes to scoring and the difference is less than or equal to Komi.
I am not upset if I win (obv!) or lose by less than Komi. If anything, I am happy because it has been a fun and exciting game right to the end.
However, I hate to win or lose by 0.5. I much prefer integer Komi so such a close game can be called a draw. (See related discussion.) In a tournament game where a decisive winner is required, then maybe 0.5 is OK; although, I would prefer a rematch as a tie-breaker if time permits, especially if it’s, say, the grand final.