A "cheapo" capture is one where the opponent knowingly tried to steal a piece just because you're not paying attention to it.
Like you're playing good moves and winning positionally.. and then they waste 2 tempos playing moves that don't improve thier position, while you're continuing your attack, hoping that you miss an exposed piece.
1. According to you, only blitz & bullet
2. If you are in such hardship, try longer time controls
3. The "cheapos" and "winning on time" are just as valid as checkmating, as per the nature of the game.
+1