The <> operator is what is in the search syntax operators documentation, replacing !=.
In order for <> to work as != it would need to evaluate as < or > not < and >.
At least for numbers, but I would like a != for all objects.
Anyways, trying with numbers (which must be surrounded in quotes when using search syntax but are still treated as numbers)
Here I am testing with an entry that is in a volume with an id of 2.
If I evaluate ="2", I get a positive result
If I evaluate <"6", I get a positive result
If I evaluate <>"6", I get a negative result
But if 2 is not <>6 then <>6 can not contain numbers less than 6, which means <>6 is not equivalent to !=6 which would include 2,3,4 etc