A pinhole is a hole. A "support" for a painting should, well, "support" it. Holes don't support much.
However, It's not the end of the world, and "holes" so fine they require careful inspection to be seen really aren't much of a problem, although the product certainly weighs in as less than "top tier" material. Applying a second layer of primer is a reasonable "fix".
If the canvas was oil primed, it's inadvisable to coat it over with an acrylic gesso, which is what I presume you used. "Real" gesso (RSG and gypsum) is too brittle to use on canvas stretched on a frame, and also will not adhere to an oil ground, although it can be applied to canvas glued to a panel successfully.
Many old master paintings are on canvas that was far less than perfect, but the grounds were adequately applied to make up for irregularities.
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