It depends on what your threat model is. For example, do you want to mitigate the ability to easily link accounts and other information to you based on a single phone number? If so, then this will help with that assuming you (at least temporarily) use multiple numbers through JMP. On the other hand, if you want your communication to be private then there are better alternatives.
Ultimately, this is similar to using a privacy respecting email provider over gmail. Unless you take some additional precautions, your communications have a similar security/privacy exposure. It can be an improvement (assuming you trust JMP), but it is not the best means of communication in terms of privacy.