Dialing 933 tests call routing and address reporting when dialing 933, but 911 and 933 are not the same number.
And one might assume that it should work the same....and it may in fact be the same once a call reaches the greater telephone network.
But calling 933 does not necessarily test 911 call routing as it relates to a specific pile of local gear.
So sure: One should call 933 as an informal test and make sure it produces a good report.
One should -also- call 911 and make sure that works correctly and that the result of a call is a good report, too (after calling the local non-emergency number for the PSAP and making arrangements).
It's perfectly acceptable, OK, and appreciated (by PSAP operators and supervisors alike) to ensure that 911 calling is tested and working, end-to-end, upon the implementation of any particular telephone system. (But again, please let them know about it, first.)
Lives do sometimes rely on 911 calls working properly, and an untested system is at best an unproven mystery.
Please test it. "It -should- work fine!" is not good enough.