There are many growth factors in a wound. They have different roles and temporal appearances. You must think a lot more specifically about the question.
For example, in the liver, following injury, the first to activate is HGF from its latent form. 24 hrs later TGF-beta begins to come into play. For the proper repair, both will be needed at different times. Skin is even more complicated because many of the GFs are delivered by the blood cells in addition to what is in matrix and exposed by the wound.
Interesting question. I am sure not answered yet but worth of investigation. I imagine of the dressing containing some human plasma or saliva (HGF is abundant there).
The best is a non interactive, atraumatic on removal, silicone mesh. It keeps growth factors in place (eg if you have applied Platelet rich plasma); allows for exudate to seep through that prevent dilution of the growth factor application and on removal do not disturb any new growth that did occur. Can be left in place for 5-7 days. Do not mechanically cleanse the wound bed on re-opening/ re-dressing after growth factor application, leave it in a atraumatic state.
While I find your comments interesting from a clinical perspective, I still think you are not identifying several key points. What kind of wound? (burn verses cut) If cut, how deep? Shallow wounds are best left to the air to promote keritinization process. Deeper wounds need coverage for a while until basel layer reforms. Deep cuts will require many more growth factors over a longer periods with very different temporal expression/appearance patterns. Largely the initial attractor is the clot which is a major binder and attractor of the infiltrating leukocytes. The platlets that stick to and rupture at the clot, release lots of different GFs.
Here is a good review article detailing the process in the skin.
In fresh wounds with defect, like fingertip Amputation injuries, covering the defekt with a semipermeable Dressing like op site maintaines a favorable Environment for healing with Regeneration of the fingertip if at least part of the germinative Matrix of the fingernail is preserved. It seems that an activated WnT pathway expressed by nail stem cells and neurotrophic factors from transected small nerves are responsible for at least partial Regeneration of the tip if treated by the method first published by Mennen and Wiese.
J Hand Surg Br. 1993 Aug;18(4):416-22.
Fingertip injuries management with semi-occlusive dressing.