Maybe we can just call them random forests and ignore that.

Legally, yes, you can, as the use is not mandatory:

https://academia.stackexchange.com/questions/21521/is-it-man...

Although owners of trademarked names may suggest otherwise, publishers are not obligated to denote the trademark status of a name when that name is mentioned in text. Authors representing trademark owners frequently feel obligated to use the trademark or registered-trademark symbol (™ or ®) after the first mention of their product names but often do not use these symbols consistently to indicate the trademark status of other names not owned by their particular sponsor or employer.

The people who own the trademark may feel obligated to use those marks, but nobody else ever is.

There's a lot of "folk law" (that is, urban legends repeated by the ignorant) surrounding this concept, so if you think I'm wrong, please do yourself and the rest of us a favor and research good cites to show that there's actual law saying I'm wrong. Thanks.