Well, you're onto something - left and right doesn't really mean anything anymore.
During the French Revolution, there was an awkward period of time when the National Assembly had taken control of the government but it had not yet been decided whether the King, who was sort of under house arrest in the palace at Versailles, was still going to be at the head of the country in albeit a limited role, or if France was going to be a Republic - to just do away with the monarchy completely. Extremists advocated for the execution of the King, just to give the decision a finality to it (and of course this was the faction that won that argument in the end).
Because that was, at the time, the most pressing issue to sort out about their country, they decided to organize the seating of the Assembly accordingly. Those who believed that Kings and Queens were a thing of the past, that countries should be ruled by an equality-based representation of all society, sat on the left. Those who believed that it is normal for some degree of inequality, because somebody has to be in charge and in order for society to be best commanded you need one person at the top with ultimate authority - those people were sat to the right. So left and right, in that context, meant do you believe in equality of power, or do you believe in hierarchy of power?
But that was before the industrial revolution. A hundred years of industrial development later, suddenly, people weren't talking about equality of power anymore - they were talking about equality of wealth, and left-right began to take on a new meaning: do you believe that industry should be organized by the labor class who produce the wealth with their work, or do you believe that industry should be organized by the investor class who produce the wealth with their management?
Even that doesn't entirely capture the story, though. When we talk about trangender rights, sexual liberation, religious tolerance - these are not post-industrial issues any more than they are monarchial authoratitive issues. Everything's tied together in the end - we can't have transgender rights without economic justice, racial justice, etc, etc - but these are not direct corollaries of the original arguments that defined the left-right scale.
So, TL;DR - it doesn't really matter. Any spin you have on the concept of left and right is no less valid than anybody else's and maybe even more so because you're at least consistent with yourself.