For me, "trust rights" is too broad.
"Fideicommisary rights" would relate to a "fideicommissum", which is a much narrower form of what we now consider a trust (and somewhat archaic) relating to hereditary rights.

What is meant here is simply the rights of a beneficiary (fideicomisario/a) under a trust.
As to the question of the meanings in common and civil law jurisdictions, clearly there will be certain technical differences (from country to country or even from state to state), but I believe the concept of the trust in common law is fundamentally equivalent to the "fideicomiso" in civil law.

Beneficiary Rights
It is generally accepted that New Zealand has more formally settled discretionary trusts per head of capita than anywhere else in the world. These trusts control assets worth billions of dollars. However, the majority of people who can benefit from these trusts either do not know about the trust, or about their rights in respect of the trusts.

The purpose of this commentary is to provide a simply written and easy to understand explanation of what it is to be a beneficiary of a discretionary trust and what rights a beneficiary has in respect of a discretionary trust.
https://mattersoftrust.co.nz/beneficiary-rights/


Limiting Trust Beneficiary Rights
Many states have codes within the trust laws that allow a grantor to limit the rights of some or all named living trust beneficiaries. A beneficiary may be allotted a designated representative who receives reports directly from the appointed trustee in regard to the information of the trust. The representative may be directed regarding how much of the information to share with the named beneficiary assigned. The rights for beneficiaries are legally limited as such.
https://pocketsense.com/beneficiary-rights-living-trust-8123...