"You mean, I shouldn't think" is one common misconception about sitting meditation.
Actually, it is and it isn't.
When sitting perfectly still, and there is nothing else to be experienced but the breath and raw physical sensations, thoughts from the self-making mind are indeed irrelevant. That they do happen in the not yet purified mind is part of the process. Hence the answer to the novice's comment, no, and yes.
Wanting empty mind right away precludes one from the chance of ever experiencing empty mind.
Tonight, sitting by the fire, there was only the experience of subtle breath, and heat seeping through the body. Moments of purity, and vanished hindrances. A temporary bliss, not to be clung to . . .