The House can form their own commission, with subpoena powers. They don't "need" the Senate to do that.
As I posted previously, I believe they would prefer to include the Senate.
Correct me if I'm wrong.
You’re not wrong but a 9/11 style independent commission would be the most credible way to go. If it’s done in the House their subpoena power is weaker than most as you’ve seen with important witnesses like Bolton and McGahn dodging testimony in the past.
Republicans don’t want this commission for political reasons. You have to understand the insurrection happened from within the Republican Party and consisted of their most loyal base. It also will highlight what a despicable group all of the Trump sycophants are and their involvement and incitement, that includes people like Roger Stone and Michael Flynn.
The whole thing highlights just how awful the filibuster really is. Obviously, there is an anarchist wing in the Republican Party that needs to be dealt with but the Republican politicians need them for political power. It’s a downward spiral that feeds radicalization of what are generally normal people. It’s uncertain times in America.