I'm fimiliar with the separation of cluster/vserver APIs, but those vserver APIs listed in the API documentation and ZEDI seem to be only working on data SVMs.
Only very few APIs like 'options-list-info' work on a node SVM.
I was looking for a list of APIs specifically for node SVMs to see what I can do 
edit:
The following article was helpful to find out, that only white-listed APIs are allowed on a node vserver.
What is Vserver Tunneling in Data ONTAP 8.1.0?
So what are white-listed APIs?
In the Reference Manual for ONTAP 9.1 APIs you find the following explanation:
ONTAP White-list API
The Data ONTAP 7-Mode APIs that do not create, modify, or delete a cluster object are called ONTAP White-list APIs.
A user in a cluster environment can use these 7-Mode API by using Storage Virtual Machine (SVM, formerly known as Vserver) tunneling.
And a list with the following APIs:
aggr-space-list-info
clock-get-clock
clock-get-timezone
clone-list-status
disk-list-info
ems-autosupport-log
ems-invoke
file-inode-info
file-list-directory-iter-end
file-list-directory-iter-next
file-list-directory-iter-start
file-read-file
file-get-file-info
license-add
license-delete
license-list-info
net-ifconfig-get
net-ping
net-ping-info
net-resolve
net-reverse-resolve
options-list-info
options-get
reallocate-list-info
system-get-info
volume-charmap-get
volume-get-filer-info
volume-get-supported-guarantees