No, it is exactly true.
A posek can take pragmatic concerns into account when deciding halacha, as is stated many times in the shulchan aruch and other rishonim and acharonim.
A person cannot decide to shop between different poskim who have already taken that into account, for pragmatic reasons.
We will sometimes be meikel on kashrus for a poor person. But if a poor person asks a shaila and is told assur, he cannot go to another posek and ask again-just because he is poor.