The "Senate Committee" you speak of is chaired by Ron Johnson, who is a staunch Trump ally and again, a rank partisan.
In order for the general public to have any degree of trust about this, there is going to have to be some authority who is at least not a partisan who can speak with authority to actual facts. Not vague "assurances" with no evidence. This issue is way too political to trust Republicans, especially after Benghazi (went nowhere after dozens of investigations by partisans) and Hillary's e-mails (went nowhere after a whole year of hyping it up as the worst crime ever by a politician). This entire thing just smells like the next big Republican freakout over nothing.
Edit: Update! Robert Graham (of Errata Security) has verified the DKIM headers of the “smoking gun” email — https://twitter.com/erratarob/status/1322007153415200768
DNI John Ratcliffe, who is a Republican partisan, said that on Fox News. He was also just caught lying to the FBI director in making a partisan assessment (with zero to back it up) in a statement about election interference by Iran last week. He's not exactly a credible and dispassionate actor in all of this.