I live in Edinburgh and work in Glasgow. The difference is that the Weegies are very good at telling everyone how welcoming they are, hence your quote above. They are very similar to Scousers in this respect. They have a very similar culture, both port cities with a high proportion of the population of Irish decent. The Glasgow-Edinburgh divide is remarkably similar to the Liverpool-Manchester split.
In Edinburgh as long as you keep away from the New Town residents you will find the locals very friendly.