Starting chord-changes at "the and of 4"

In 1987 I got into a house Latin band at a jumpin' club in AZ. I remember being blown away learning that stuff that there were some tunes (mostly Cuban) where the ONLY down beat I played was the very first beat of the tune. Never again another downbeat for 4, 5 minutes. Cool stuff.

But THAT SAID: in ANY other style, you should not think that you should just do this, throughout a whole song, just cuz you "feel like it." In non-Afro-Cuban music, this has a very specific purpose and effect. As others have said, use it sparingly and tastefully.