Well... Funny enough I think precisely spiral taps benefit the most from peck tapping through breaking the chips.
Said this for a while now. Yeah I'm pretty much a newbie machinist and I know very few use peck tapping cycles, hell I think many don't even know they exist, but (knock on wood) I have never, literally never, broken a tap using peck tapping in a rigid holder. Not for lack of trying! I only ever break taps when for some reason I'm forced to use a floating holder!
The air/coolant solution works very well for me maybe because my internal coolant isn't very high pressure; if it was it'd probably not be needed. However, a small sleeve is very beneficial in order to concentrate the coolant flow.
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Also my experience is the peck cycle makes me able to tap at higher speeds more safely.
But who knows, maybe you'll break you whole machine using it