Yeah, one of the known weaknesses with the spring tab contacts. Do it enough and that will happen. Metal fatigue.
Soldering wouldn't fix it for long. On it's own it would be a good electrical connection, but not a good mechanical connection.
I did have it happen with one antenna that I removed a lot, probably 25 years ago. It was not a issue limited to Larsen antennas, I've seen it happen on other brands.
The newer Larsen antenna designs use a 'pogo' pin. Basically a spring loaded pin that maintains contact. The older style antennas haven't adapted this, however. I have seen the old Motorola antennas that used the pogo spring contact fail also, so they are not a perfect solution. This is one of those places were paying attention to maintenance is important.
Just get a new coil if that's the issue (if you can find them).