i kinda see where you’re coming from, but i think it’s reversed (and let’s ignore here that left and right are economic terms and we are discussion social politics):
left is progressive - aka change things
right is conservative - aka roll back things
the left has policies to push forward, the right has policies to pull that back in - the right is literally the side of “not progressive”. you can’t be a “not conservative” because they dont have positions of their own
this differs of course to anything but conservative, because there are many flavours of progressive