Increasing pipe diameter reduces restriction on the flow.

And thus less pressure drop.

Static pressure
remains exactly the same.

Agreed

There will be less pressure drop once the flow is
started.

Which is the condition when actually using your plumbing.

But pressure is never increased by larger pipes.

The above is totally misleading. The only pressure that is relevant to
the OP is during flow, so that if you wanted to stay relevant then you
should of said.

"The pressure can be increased by larger pipes"