The important bit is further down

Our Phillips tips follow the ISO 8764-1 standard, which is compatible with the JIS standard B 4633. In fact, of the three main standards, ASME, ISO, and JIS, the least strict standard is JIS. As shown below, the JIS dimensions almost all fall within the ASME or ISO acceptable dimensions. Therefore, any Phillips screwdriver, such as our new Tekton Phillips screwdrivers, can be made to meet JIS standards. In fact, you should expect that all well-made drivers that meet the ASME or ISO standards will also meet the JIS standard.

But yes, this doesn’t make clear if this has changed over time.

And yes, I used a Phillips screwdriver in JIS and vice versa multiple times.

That’s totally fine actually