I think a good technology to consider in comparison is the telegraph. The telegraph also began as a technology processing bits of information that while accessible, in that they used the sound/touch of tapping, was also cumbersome to use in that it required the user to learn a specialized code to both input and interpret. So, you had a specialized profession develop around the telegraph, which gave way when an interface easier for the layman (the telephone) was developed. So, if you have the adoption of punch card computers a good century before Cathode Ray Tubes were sophisticated enough to create purely visual displays, you need to think about how you would stop CRTs from overwhelming punch cards and Refreshable Braille Displays.
Keeping telegraphs in mind, one interesting possibility is if your early punch card computers could interface directly with telegraph lines. 81
The French were already pioneers at long distance communication: under <PERSON>, signal towers were built connecting Paris to the frontiers of the country. What if a series of punch cards at a central computer in Paris could be sent to a punch card writer in Marseilles almost instantly? You could have a sort of internet under <PERSON>!
Ultimately, though, I think tactile interfaces are going to be hard to catch on very widely, even with these boosts. The best bet is to try to stimulate a jump to more audio displays. This is where a lot of technology is trying to move now: a natural language interface, like Siri or Alexa. Maybe if a punch card internet develops, you'd still have specialized data entry types for input, but the displays would instead become temporary phonographs?
Honestly, there are a lot of repercussions that could come from this, but good luck exploring! Some other resources to look at are 'Jacquard's Web' by <PERSON>, a non-fiction book on the development of the Jacquard loom and some of its significance, and 'The Difference Engine' by <PERSON>, which not only launched the steampunk genre but also deals with <PERSON>-style central computers as the major point of departure for the world. 54