Does Ephesians 5:21 mean that when Ephesians 5:22 teaches that wives should submit to their husbands we are to understand that husbands are also commanded to submit to their wives?
The short answer: Yes.
Ephesians 5:21 states, "submitting to one another out of reverence for Christ." This verse, as you said, is advocating for mutual submission among Christians. Meaning, all believers are called to humility and servanthood.
- But he who is greatest among you shall be your servant. And whoever
exalts himself will be humbled, and he who humbles himself will be
exalted. (Matthew 23:11-12 NKJV)
This is the great Christian ethic.
When Ephesians 5:22-24 instructs wives to submit to their husbands, this does not nullify the principle of mutual submission expressed in Ephesians 5:21.
The submission described in Ephesians 5:22-24 pertains specifically to the marital relationship. Not all relationships within the Christian community like Ephesians 5:21. Therefore, they refer to two different types of submission.
I think RENEW put it well:
both men and women were created by God to equally reflect, in gendered
ways, the nature and character of God in the world. In marriage,
husbands and wives are to submit to one another, yet there are gender
specific expressions: husbands model themselves in relationship with
their wives after Jesus’ sacrificial love for the church and wives
model themselves in relationship with their husbands after the
church’s willingness to follow Jesus.
Conclusion: Ephesians 5:21 is a call to humility among believers including husband and wife. Ephesians 5:22-24 does not issue an explicit command for husbands to submit to their wives. Rather, it outlines a hierarchical framework for marriage, positioning the husband as the head of the household in a manner similar to Christ's role as the head of the church.