hey guys I broke a tap in stainless the other day but I thought it only did that for it STOPPED during the tapping cycle of coming down clockwise and going back up counterclockwise or this is NOT at all the difference between using tap collet holders vs using tension compression chuck holders?

I have always used tension compression tapping and the reason I am suspecting I picked the wrong cycle is that I used floating option vs fixed option or something got mixed up can you weigh on this ? or how would you tap if it were ER collet holders (for tapping ,four grooves) vs if you had tension compression chuck holders?