Is it right to believe in progress? Putting the question this way, is meaningless: it's like questioning whether it is good to believe in justice, or goodness, or nature, or freedom. The subject can only become meaningful if accompanied by the what, the where, the how, in short: context.
There is only one meaningful meaning of the notion of 'progress' and that is: progress as improvement, something which has become better than before. But this merely relocates the subject into another context: 'improved' in relation to what? And according to which parameters? So, also 'improvement' is a relative concept.
In culture, artistic quality is heavily dependent upon context. It's there, in an objective, concrete way, but yet it is a fleeting presence because hard to define. But it is always there, where talent is. When artists had restricted materials and means and opportunities, their field of activity was narrow. That is, narrow in relation to other periods when the field was much broader. Obviously, pigments which were more stable did improve the means of painters, as did the quality of their canvasses, but this did not influence the quality of their imagination or invention. Keyboards and organs in the Renaissance were simpler than their progeny in the 18th century, and the development of the piano in the 19th century greatly enhanced the possibilities of composers, who gratefully accepted the challenges. But that does not mean that the keyboard works of Chopin are, in terms of artistic quality, better that those of Couperin, that Chopin's music has improved Couperin's keyboard writing because of progress having taken place since 1700. This confusion of aesthetics with material improvement is still widely ingrained in the mind of many modern people, living in the unthinking myth that our own times must be better in all respects simply because of its contemporaneity.
The British historian John Gray on the topic:
"Faith in the liberating power of knowledge is encrypted into modern
life. Drawing on some of Europe's most ancient traditions, and daily
reinforced by the quickening advance of science, it cannot be given up
by an act of will. The interaction of quickening scientific advance with
unchanging human needs is a fate that we may perhaps temper, but cannot
overcome... Those who hold to the possibility of progress need not
fear. The illusion that through science humans can remake the world is
an integral part of the modern condition. Renewing the eschatological
hopes of the past, progress is an illusion with a future."
Related: chronological snobbery - an argument that the thinking, art, or science of an earlier time is inherently
inferior to that of the present, simply by virtue of its temporal
priority or the belief that since civilization has advanced in certain
areas, people of earlier periods were less intelligent.