Right Links not working with New Tab Override

I installed TXmouse on my Windows PC so I could get Linux-like
cutting/pasting.

As this uses the center-click on my mouse for pasting, I lost the
ability to center-click on a link in FireFox to start up a new tab.

So I located/installed the Right Links addon and was happy with it. It
provides for long left-click’ing or right click’ing to start up the link
in a new tab.

I then wanted, when I did this, for FireFox to go to the new tab rather
than having to click on it to get there and discovered New Tab Override
for this.

Oddly though, it only works with a long left-click but not a right-click.

I think my question then is for the developer of New Tab Override and it
is: Why doesn’t this work when right- click’ing to bring up a new tab?

I’ll add here that when I disable TXmouse, I can then again center-click
on a link to bring up a new tab. Yet, it doesn’t go into the new tab
either. Only doing a long left-click via the Right Links addon does that
for me.