Hi Byrd,
To my knowledge, there were no less than three horus titles, one for the living king and two varients in the afterlife. But these attributes appear after the thinite kings, if you have evidence that clearly shows the thinite serek use in "non-grave" artifacts please enlighten me. I don't pretend to be an expert on the topic, such that I post this stuff in the hopes of maturing my understanding. There is much written about the tombs being designed in the fashion of the palace the deceased once lived in, but what I can gather is that this attempt was done within the sub-terrain portion of the tomb, i.e. corridors, chambers and niches...etc.
Best regards,
B.A. Hokom