Where did you find out that in order to be considered "holding out", you have to be providing the airplane or have operational control?
You won't find that out, because it's incorrect. Holding out, and issues of operational control, are entirely indpendent to the thread subject...and have no bearing on ferrying airplanes.
Holding out means advertising yourself as a pilot. For a pilot holding a commercial certificate, this is not illegal. Holding out may be written, verbal, or by any other means, including your reputation.
What you hold out for, or in other words, what you say you'll do, does make a lot of difference.
Issues of operational control involve who determines what's going on with that flight. The pilot always has operational control, in any operation. The pilot is always the final word regarding w(h)eather that flight goes or not, and holds the final operational control. However, beyond that, the subject can become complicated, depending on the arrangements for the flight, ownership, payment, aircraft provision, etc.
If you're ferrying an aircraft from A to B, issues regarding operational control and holding out are irrelevant, so long as you're not transporting persons or property from A to B for hire. (Just to avoid future confusion, ferrying the aircraft itself for hire isn't the same as transporting someone's cat in the aircraft).
As a commercial pilot, you have the right to hold out your services. If you advertise a willingness to move aircraft for which you hold pilot privileges from A to B, and are able to secure the blessing of those who own or are entrusted with moving the aircraft, then have a ball. If the owner wants to ride along, have a ball. If your aunt mable finds out you're going and throws you a fifty to put her in the baggage compartment if you can get here there to her Canasta tourney by five o'clock, then you have a problem, and are entering into illegal charter territory. If the owner of the aircraft invites your aunt mable along as his guest, no problem, but if she pays for the trip, you're back into murky waters of the well if illegality again...even if she doesn't go and it's just her cat.
After all, how many cats do you know that can play canasta?