there shouldn't be any issue. if an issue persists, I would guess the game itself is not properly optimized for newer CPU. what resolution are you playing? a lot of the older games weren't really well optimized to utilize multiple cores/threads so usually dun napupunta sa isang core lang and that causes the lag at times since 100% na ang CPU
check task manager and see performance tab (what OS?) in the memory area, check how much memory is committed. pag sobrang laki ng kinakain yun din isang reason ng lag, most likely a memory leak (leading cause is app is not optimized for the current OS - i.e. running old games in say windows 10)