> out of respect for the local population.

You're a guest, there are some cultural do's and dont's and holding hands in public is one of the latter, even for heterosexual couples. I don't hold hands with my girlfriend in public even though it'd be totally safe to do so, it's disrespectful because it's not the local custom to do so.

In contrast, many of my LBGT friends in European capitals fear to show affection with their partner in public, with most having faced harassment and some even assault. According to our European values it should be normal and safe to express affection to our partner in public regardless of our genders, but the reality is sadly different.