Interestingly, when I wrote that I was on an earlier version of iPad OS. Since upgrading to 13.5.1 a couple of days ago, I now see the desktop version of the TWiT Live page with the links across the top. I was running with default settings on both versions (as far as I’m aware) and haven’t changed anything since the upgrade.
The other bonus in Safari that I’ve noticed since the upgrade is that Google results are delivered in the desktop version of the page, instead of the awful tablet version introduced ages ago that made no sense on something with the pixel density of the iPad. At last I have the option of looking at cached pages again.
The only updates made to the wiki in the last 5 years were mainly my updates to show info (which was redundant with the TWiT.tv site). There were also a couple people who updated Ham Nation info and AAA arena stats, but even those people stopped a couple years ago.