My general experience is that the problem is really that most tourists are focused in some very tiny but extraordinary popular areas. For example I have seen places in the Rockies where you need to book your camping place slots months in advance... But if you simply visit the next valley over (literally, distance was probably some 5-10km) you can walk for a week without meeting another soul. The same in Scandinavia... If you're walking Kungsleden for example you might encounter 100 people a day - go to any of the side trails and they will often be abandoned.
The popularity of already popular tourist destinations has certainly increased with the advent of social media and the readily available digital pictures. However, in my estimate this is rather one of these 'the rich get richer' (or here: the popular get more popular) situations...
I don't think that there is any immediate danger for the remote places you visit and then tag in pictures - unless you do some stunning shots of a really extraordinary place and they go viral.