How the work runs
I match the scope and rhythm to the team
We settle the number of days and the billing model on the call, because settling them in advance would be guesswork. A team that is still putting a release process together needs me for different things than a team that already has one and is looking for somebody to make architecture decisions.
The cadence follows the size of the team, how often decisions come up that nobody wants to make alone, and whether something big is running in the background: a migration, entering a new market, a security questionnaire from a large customer. We agree the cadence at the start and correct it along the way when it turns out to be too sparse or too heavy.
There is also the question of what can be raised between one contact and the next. Availability has limits, and I say plainly where mine are.
I work in your team's channels. If the team talks on Slack and in comments on changes, that is where I am. A technical decision often gets made in a comment on a change, and that is exactly where I need to be.