Jay, it is hard to answer because it depends what you mean by "out of balance". You may consider "cold load" and "hot load" as 2 sets of forces applied where the spring supports are placed. The forces are active forces, rather than "reaction forces" as for regular supports/ restrains.
On each status- "cold", "hot" and any intermediate one, the piping system is in equilibrium, if proper designed.

But the spring forces are not arbitrary, their selection is a result of an algorithm with a target that you may call "balance status". In this case I would answer "yes" to your question.