You don't need a CTO yet
Founders hire a full-time CTO for the same reason PE operators hire a platform team: it feels like the grown-up move. You want someone in the chair. You want the title on the about page. You want the anxiety to go away.
Often you are buying a salary, a recruiting cycle, and six months of orientation. You still do not have a decision.
You do not need a CTO. You need someone who will tell you what not to build.
The job is smaller than the title
Early on, the useful work is narrow. What is the one technical bet that unlocks the next 90 days? What should you refuse? Who should write the first version, and who should not be in the room yet?
A strong engineer who has never owned a P&L will optimize for craft. A marketplace CTO who needs a seat will optimize for staying. Neither is automatically wrong. Neither is what a funded, non-technical founder usually needs in month three.
I have hired CTOs. I have been the fractional stand-in while a company got honest about the role. The companies that did well wrote the spec after they knew the work, not before.
Judgment now, a seat later
Fractional is not a discount CTO. It is a way to buy judgment without locking the org chart. You get architecture, a written case for change, and a person who will still be there when a search partner runs a process.
If you are PE-backed and the stack is a pile of local tools held together by the one person who "knows how it works," you do not have a hiring problem first. You have a visibility problem. Hire the seat after the choke point is named. Otherwise your new CTO inherits folklore and spends a year redrawing it.
When you do need the seat
You need a full-time CTO when the work is no longer a sequence of bets. It is a function: hiring, vendor leverage, a roadmap that has to survive you being on a plane. That is a real job. I will help you write it, and I will stay through the final round if you want a warm intro to a search partner I trust.
Until then, do not staff a department you cannot describe. Pay for the decision. Keep the option to hire when the case is obvious.
Titles are cheap. Wrong titles are expensive.

