I'll go out on a limb here
In a perfect world, I think this question would be answered by an ATC specialist, but I'll give it a whack.
If your clearance sounds like, "Maintain 4000 until established on a published portion of the approach, cleared ILS Rwy 25, contact tower at the OM..."
I'd say your readback is sufficient as you now "own" all of the airspace from 4000 *down* to the DA and *back up* to the published missed approach altitude...
...and here's why I think so, and why I don't feel a report is necessary:
If you went lost comm just as you were issued an approach clearance (and you're in actual IMC) you'd continue to the DA and land. Or you'd continue to the DA and go missed and fly the published missed approach.
Because, as you know (I'm just trying to cover all my bases here), an approach clearance also contains a tacit authorization to fly the published missed if you need it.
So, I don't think a report of "vacating 4000 for 1600" (the GSIA) is really adding much to the Big Picture.
But I'll standby for any corrections, amendments, additions or deletions.