You are completely right Germán, I do not use the term accurately for the sake of simplicity in the article.

Increment is the sum of the current potentially shippable things plus all that we had previously. It is possible to finish one iteration and have no increment at all, and the opposite is also true, you can have several increments in one single iteration. So they are definitively separated.

Yet because in SAFe people talk about PIs, Program Increments, those PIs are numbered, PI-1, PI-2, ..., and they often encompass around five iterations, I preferred to use a more simple definition, although innaccurate, to help to make a good picture of what is happening. Yet, it looks like that they fixed their mistake in version 6, and now they have renamed Program Increment to Planning Interval. Given that the version 6 is from this year, 2023, and the first SAFe is from 2010, they have been making and teaching that mistake for almost twelve years.

Sorry if it bothered you, and thanks to point it out, so others can learn about it if they are interested.

Thanks!!