Sorry, I meant response time, not refresh time.
Basicially a TV monitor is not made for playing games etc. TV monitors response times are usually pretty bad.
Response time is the time the monitor needs to display a change. So if you for example, move your mouse from one corner of the screen to another, the TV monitor might display that movement much later than you actually did it. It might still be a 120hz monitor, and be able to display a high frame rate, but that will not help you. Basically, go for a monitor with very fast response times and if possible, also with either a 4k monitor, or a 144hz monitor.