Hello @arthenics,
Thank you for your message.
The issue you are experiencing is likely the result of bilinear filtering being applied either on the texture, on the material in the 3D View, or both.
Bilinear filtering smooth an image when it is being resized to a different resolution, to mitigate the aliasing that can occur when resizing. However, when working with dense, high-frequency details such as your pattern, this can result in the pattern being blurred out into mush.
Since your pattern does not have a lot of variation, it is not necessary to work with high-resolution textures where the pattern is tiled heavily. I suggest working with less tiling in the images, and increase tiling in the 3D View material instead, as shown below.

To increase tiling in the 3D View, go to Materials > Default > Edit, then tweak the Tiling parameter in the Properties.
Also, in your example it unclear why the alpha should be merged into the base colour. Is it a requirement of the engine you are targeting? If this is not required, I advise keeping base colour and alpha separate in the graph, to prevent accidental resolution changes caused by inheritance in graphs.
Let me know if your need further guidance.
Best regards.