Yes, I think that's its definition.
> Perhaps conservatism doesn't necessarily fit into a left-right spectrum neatly.
While conservatism is right, right isn't necessarily conservatism. Conservatism more describes a center-right party, the extreme right often is what is called fascism, with one alternative being fundamentalism. I think conservatism and fascism are pretty much mutual exclusive.
I think you are describing https://en.wikipedia.org/wiki/Libertarian_conservatism
Someone whose political agenda is to force society to confirm to a doctrinal ideology that in opposition to the established broad status-quo norms of that society is by definition not a conservative.
Conservatives believe that the status quo may violate the transcendent order and that they are duty bound to restore it. Neither conservatives nor liberals believe the status quo is sacred.
Do you think the rolling back of Roe vs. Wade was not a conservative act because it was a "status quo norm" ? They never liked it, so perhaps it was not a norm?
Status quoism is different from conservatism.