If I'm typing up a Question, and SE is trying to encourage me to go see if other ones are similar, then shouldn't SE allow right-clicking on link, without "Leaving this Page" with half-typed question, to see the answer?
I don't have any issue right clicking on those links in either Firefox or Chrome (on Desktop or mobile). I suspect this is an issue with your browser. You might want to clear your local caches and check if any extentions or site scripts you might have installed have thrown any errors on the console.
Just a note on usability, the links in that section are already targeted to load in a new window, so it is safe to just click on them. Even if they weren't a way to save mouse time in most browsers is to Ctrl-Click on links to open them in a new tab.