Seems to me that an honest and unbiased appraisal of the situation regarding the actual voting would be this:
37% of the electorate voted to leave. The other 67% majority might be said to favour the status quo, as they either voted for it or not at all. When such a large majority do not vote for change, the usual protocol is not to then rush off and implement that change.

As regards the Act which facilitated the referendum, section 5 does indeed indicate that it is advisory. Whether you agree with these objective points or not will, I expect, depend on whether you are in favour or not of Brexit. Therein lies the problem - mostly we are just trying to advance our own political preferences in these debates - not look for facts. Because if we don't like the facts, we ignore them. So truly impartial and honest debate seems impossible.... Just my two penn'orth :-)