On the contrary, the answer to such a question perfectly illustrates the sort of critical thinking that is taught in a history degree program but not necessarily in a technicaly degree program.
After reading enough about the history of mathematics, it is nearly impossible to arrive at the conclusion that today's mathematicians do not have their own set of ideological beliefs. However, obtaining high scores in a mathematics degree program is easily achievable without seeing these beliefs as ideological ("that's just how it's done" is a profoundly common and profoundly ideological answer to questions of the form "but why not do things this other way" -- especially in upper-level undergraduate mathematics).
After reading enough about the history of mathematics, it is nearly impossible to arrive at the conclusion that today's mathematicians do not have their own set of ideological beliefs. However, obtaining high scores in a mathematics degree program is easily achievable without seeing these beliefs as ideological ("that's just how it's done" is a profoundly common and profoundly ideological answer to questions of the form "but why not do things this other way" -- especially in upper-level undergraduate mathematics).