I don’t think is true. “Higher skill” is nebulous, but lots of automation quick reduces higher paid positions, such as software that allows people to be more productive or technology that obviates many other devices (smartphones).
But the pace of automation is slower for high touch work, such as nursing home work, cleaning, cooking, and other jobs that typically pay the least.
Of course, there is a need for very specialized work that could pay more, such R&D in cutting edge computing, medicines, chemistry, etc, but the chances of achieving that level of expertise does not seem realistic for the majority of the population.