Hi Anton,
Yes, an RNAV approach is considered an instrument approach. Therefore, if you have a TSO 146 GNSS unit in the aircraft, there is an RNAV approach for your destination, and you are current on RNAV/GNSS approaches, you will not need an alternate based on aids.
You may still need an alternate based on the other criteria though as covered by the mnemonic "Alternates Could Very Well Prove Life Savers" (Aids, Cloud, Visibility, Wind, Prob/Prov, Lights, Storms).
An interesting side note, by the way. The TSO 129's now are considered to satisfy the Aids requirement for RNAV/GNSS approaches but there is a special condition on them if you need an alternate for some other reason.
For example, if you use TSO 129 unit(s) and you are flying to an aerodrome that only has an RNAV/GNSS approach defined, you can continue without an alternate. However, if for example, the weather conditions or lighting dictate the need for an alternate, then you need to navigate to the alternate via ground-based aids, the alternate itself must be serviced by a ground-based aid and have a suitable approach based on that aid, or be in VMC. You are not allowed to use the TSO 129 to navigate to or to execute the approach at your alternate. Kind of weird, but that's how it reads in AIP GEN 1.5 2.1 and AIP ENR 3.3 Table in 2.1.
Cheers,
Rich