You can imagine why they panic at the mention of a second referendum, they fear the result
The reason Brexiteers don't want another referendum is because we have already had one, and many who voted to leave have already made clear that a re-run would be a transparent attempt to overturn it, and therefore they would not trust the system and they would not flatter that system by voting again. So, yes, that would overturn the result in all probability, but it would not settle the matter as the people would cry foul.
If there was a genuine desire to remain in the EU, the Lib Dems would have seen a far better result than it did in the General Election. Why would those wanting to remain have voted Conservative, with the manifesto making clear that they would take us out of the EU?
How can you seriously promote an argument that the General Election result did not reflect what people wanted in terms of the EU?