I understand the point.
I understand the relevance of the point and I appreciate the point being made.
It is important to note that there are MANY factors to achieve: ‘background blur’.
And many more factors achieve: ‘bokeh’.
In fact, I chose one of the 50mm samples as being F/3.5, because the OP mentioned that F/3.5 was the fastest aperture available.
I like your use of the word "promoted”.
It is most accurate in the sense of there is a DoF which is defined by the: Aperture; Focal Length; Shooting Distance and Camera Format.
And then the Distance to Background can ‘promote’ or ‘improve’ on that for the final image’s appearance.
But I disagree with a very small phrase: which is a very important phrase.
It is not an Either / Or – all factors work in accumulation.
Also, in some cases and this is one - discussing Depth of Field needs to be separated from the discussion of the ‘quality of’ Background Blur – but also it needs to be understood that DoF and Bokeh (quality of Background Blur) are interrelated.
I would not use the phrase: “rather than”
I would have written:
"In Bills examples you will note that the relative distances of camera to subject and subject to background have promoted the blurred background as well as the aperture and focal length of the lens also having an effect on the DoF."
***
To the exact point that JCUKNZ is making:
Here is a Portrait which was made with a slow zoom lens on a 5D, set at about FL = 100mm and the Aperture used was F/5.6:
“Italian Passion” © WMW - AJ Group Pty Ltd, 2012
I believe it sustains the OP’s criterion:
‘I want that great crisp shot of portrait with really good blurred background”.
And there is no reason why the OP could not make a very similar shot with the EF-S 17 to 55 kit lens set at FL = 55mm and the Aperture set at F/5.6.
WW