The "maximum of four times" is talking about where a Miss is called, which doesn't happen when snookers are required by either player - so it can only happen 4 times because it must be in the period between being 13 points ahead to being 13 behind. On the pink, that can be only four occasions.
However, the black being used as a free ball can happen unlimited times, in theory. Look at the following example:
You foul and leave me a free ball. I roll up behind the black to snooker you. You fail to escape and again leave a free ball, and I again roll up behind the black. This time you escape and a couple of turns later I foul and leave you a free ball - and this time you roll up behind the black. I fail to escape ... and so it could go on forever.
However, the black being used as a free ball can happen unlimited times, in theory. Look at the following example:
You foul and leave me a free ball. I roll up behind the black to snooker you. You fail to escape and again leave a free ball, and I again roll up behind the black. This time you escape and a couple of turns later I foul and leave you a free ball - and this time you roll up behind the black. I fail to escape ... and so it could go on forever.
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