This is preliminary work for/from #4220 (async
`Layer::get_value_reconstruct_data`).
There, we want to switch `Timeline::layers` to be a
`tokio::sync::RwLock`.
That will require the `TimelineWriter` to become async, because at times
its functions need to lock `Timeline::layers` in order to freeze the
open layer.
While doing that, rustc complains that we're now holding
`Timeline::write_lock` across await points (lock order is that
`write_lock` must be acquired before `Timelines::layers`).
So, we need to switch it over to an async primitive.