Correct. The House makes the case and calls all witnesses necessary to do that. Once they present the case, the Senate ONLY is to try the case presented. Not add more information to the case with new witnesses, etc... The House failed to call them, they have ZERO right to say anything about the Senate not doing it.
The REALITY is that the House failed on purpose so that they could create this fake media storm about Senators covering up for Trump etc... They know they have nothing on Trump. AT ALL. Their sole goal here is to create confusion among folks like you so that they have a chance to win the Senate in 2020.