This variant is known as Transparent Newcomb’s Problem (cousin_it alluded to this in his comment). It illustrates different things, such as the need to reason so that the counterfactuals show the outcomes you want them to show because of your counterfactual behavior (or as I like to look at this, taking the possibility of being in a counterfactual seriously), and also the need to notice that Omega can be wrong in certain counterfactuals despite the stipulation of Omega always being right holding strong, with there being a question of which counterfactuals it should still be right in. Perhaps it’s not useful for illustrating some things the original variant is good at illustrating, but that doesn’t make it uninteresting in its own right.
This variant is known as Transparent Newcomb’s Problem (cousin_it alluded to this in his comment). It illustrates different things, such as the need to reason so that the counterfactuals show the outcomes you want them to show because of your counterfactual behavior (or as I like to look at this, taking the possibility of being in a counterfactual seriously), and also the need to notice that Omega can be wrong in certain counterfactuals despite the stipulation of Omega always being right holding strong, with there being a question of which counterfactuals it should still be right in. Perhaps it’s not useful for illustrating some things the original variant is good at illustrating, but that doesn’t make it uninteresting in its own right.