A title should make you more available to your team, not less.

There are two ways to hold a title. Read as a reward, it becomes a reason to be harder to reach. Read as a job, it makes you the person worth interrupting, the one who can answer, decide or unblock, and therefore more available than before rather than less. Which reading you chose becomes visible within a couple of weeks.

Look honestly at whether you have got easier or harder to find since you took the role. Make yourself reachable at a specific time and tell people when that is. Answering quickly is most of what anybody wants from you.