ESFJs can accommodate change much better than ISFJs. Despite sharing functions for primary and secondary, the order is very important.
Primarily Fe, ESFJs will follow the prevailing social norm and the changing web of relationships in the world around them. Needs change, commitments change, and they're supportive of what currently "is" in the world while using Si as a reference point of "what has worked before."
ISFJs use Fe to express their Si values, and the Si valueset is extremely resilient in the face of a changing world, they basically act as a bastion AGAINST change with their presence and view change as negative because it's a shift away from their ideal perceptions and sense of the world (and I think change also confuses them, if it is eroding their perception of life -- they have no where left to stand).
Here's a concrete example:
The husband of an ESFJ comes to her and says, "I'm gay." Typically the ESFJ might be pissed, but if they're mature and especially in a progressive culture will be likely to say, "There's nothing wrong with this. However, you are changing the rules; therefore my commitment to you can now change as we all work out what we each need. The marriage might end, but that's just part of what needs to happen here." So chances are the ESFJ will accommodate the husband's needs in some way but will also then consider changes to HER life in order to honor her own needs. While being far more vocal than the ISFJ, the ESFJ also is more responsive to changing relational needs.
The ISFJ is much more prone to dig in, hold a view such as, "You made me a promise, you are not allowed to change it!" and fight to preserve the marriage as-is, if that was their view of marriage prior to the revelation. They do not accommodate new information well, especially if it flies in the face of what they think the world should be like; and in this case will take a passive/aggressive adversarial stance against the husband if he does not honor his commitment to maintain the marriage.
(Not a made-up example, either; I've discussed this with ESFJs and witnessed it in real-time with ISFJs.)