Thinking about it, I don’t know if we need to have Boba be quite so explicit with Jabba or quite so clear about his intentions.
Our intention here is to tie the Jabba sequence in better with the rest of the film- or rather, from the audience’s perspective, make them feel that it matters to the overall plot and is therefore interesting.
Chronologically, I think the only thing that really needs is the Vader-Boba connection up front, because that tells the audience “Boba is Vader’s agent, pay more attention to Boba, and be aware that what happens here is important to Vader.” Less may well be more in order to up the audience investment.
I don’t think we need to lean into the Sarlacc angle, nor the fact that Jabba attempts to kill Luke via the Rancor. This is Jabba’s domain, and both Boba and Vader know that. In the moment where Jabba decides to drop Luke into the pit, the control is out of Boba’s hands. When Luke survives, he’s back on “capture if possible” duty.
That’s not to say that there might also be a Sarlacc angle here - just that I feel that the primary element for the audience is the bridge from “Vader wants Luke” to Tattooine, and that can probably be handled in isolation so we don’t build too much of a web of thoughts here.