That would be correct for an RNAV IAP provided the controller complies with all the requirements set forth in the 7110.65 and AIM for a straight-in from an IF. In this case the IAP is an ILS so a straight-in would require a vector to final in accordance with Chapter 5 of the 7110.65.
I think the AIM is misleading on that point. The section on procedure turns, 5-4-9, says "The procedure turn or hold−in−lieu−of−PT is a required maneuver when it is depicted on the approach chart, unless cleared by ATC for a straight−in approach" [Emphasis added]. I'm aware of the fact that the requirements for beginning an approach at an IF are mentioned elsewhere in the AIM, but there is no cross reference or other mention of it in the section on procedure turns.
In addition, although I can't find it right now, my recollection is that the AIM section on beginning an RNAV approach at an IF does not actually say that an RNAV approach is the only circumstance in which ATC can instruct a pilot to do it. I'm not saying that makes it OK; I'm just saying that it is likely to be misleading for pilots who aren't well versed on the rules for controllers.