Not to beat a dead horse, but the use of the phrase "...came with..." can be confusing. There's a difference between "original equipment" and "period equipment."
I found an earlier source for outfits similar to those from 1901 cited in George Frow's book(s). The February 1899 catalog describes three of them, and here's a scan:
But note on page 6 of the above scan (and the previous images I've posted in this thread) that a screwdriver was NOT part of the regular Home equipment. Neither was the multiple hearing tube, 12 records, nor most of the other equipment in Outfit No.58 and No.85.
The Fall 1901 Edison catalog contained the outfits cited by Frow (you can click this image twice to enlarge it):
Of course, owners could and did buy screwdrivers and other equipment for their talking machines. These extra aftermarket items are sometimes found with machines today. But we should not be confused or misled into believing that our machines necessarily "came with it" from the factory.
Here's an example: Below is a box of stuff that came with an AG Graphophone I purchased at a house sale in 1983. The AG came with two brass horns, floor stand, 16 Grand records, reproducer in the box, recorder in the box, and all the stuff in the box below - - including the original owner's business cards:
Note that the white rubber horn connectors and chip brush are clearly related to the Graphophone. The rest of the stuff? I don't even know what some of it is...!

For me to assume that the contents of this box was original equipment for the AG would be a mistake.
I presume that the chip brush originally came with the Graphophone, but I don't know that for sure. It's stamped with a "1" on the handle (one inch wide), and marked "John Whiting & Son, Boston, USA."
To recap, there's no documentary evidence that screwdrivers were included with the regular Edison Home equipment, but only in the "Outfits" described in catalogs. Of course, adding a period piece (particularly an inexpensive model that would have been an appropriate accessory) gives the talking machine additional interest.
Okay...the horse is truly dead... Sorry - -
Good luck...
George P.