Just in case anyone runs into a similar issue, I thought I would share.
My job recently changed such that I expect to be traveling to Montréal quite a bit going forward, and so I thought it might be a good idea to upgrade from Global Entry to NEXUS.
I had a heckuva time using the new TTP site. While I was able to create a login.gov account, I was never able to link up my prior GOES profile on either of my personal computers using any of Chrome, Edge, or MSIE, and regardless of working in regular or incognito mode.
A few minutes ago, I realized I hadn't tried my work laptop (and its ancient, corporate-approved old version of MSIE). Worked like a charm.
I have no clue exactly what it was about my machines that interferes with the site (after linking up my GOES profile on my work machine, I can now get a "My Dashboard" link on TTP on my personal machines...but it's not functional). But perhaps this experience will be useful for others who might be running into a similar issue.
That being said, I am left with a question perhaps others here can answer:
In a bit of frustration, I ended up mailing in my NEXUS application to Niagara Falls. I assume that I don't want to put in an online application (the paperwork almost certainly hasn't been processed). But I do wonder: once the paperwork has been processed, will it just automagically show up in TTP?