It is true.
Multimode (what I think you're trying to reference) isn't used in distance applications at all, it’s only for short in-building links. Anything that your ISP would provide you would be single-mode. Carrier/Backbone is virtually 100% SMF as well. SMF (OS1 and OS2) don't really have a bandwidth cap. It's all transceivers not the fiber.
But the point is that fiber that ALREADY in the ground, you can upgrade simply by changing the transceivers. It doesn't matter the length, SMF/MMF, or anything else... you just get a transceiver rated for the length of run (power of the led/laser, and the optics). The length is irrelevant otherwise as the presumption is that the install in the ground has been shown to work in the past already.
Old standard ITU-G.652 single-mode has been made to push multi-petabit transfers in lab environments. The only change was the transceivers. And to be clear, ITU-G.652 was standardized in 1984. Nobody rips out the fiber from the ground (caveat is that the cable itself hasn't degraded). You just upgrade the optics/transceivers.
“It's not the fiber that’s limiting—ITU-T G.652 defines physical specs (dispersion, attenuation), not throughput. Field trials over 96.5 km of real-world G.652 fiber showed 56.5 Tb/s using advanced DWDM and modulation
source: https://arxiv.org/abs/2108.01873