Is There Mutual Submission in Ephesians?

Here's the question - in Ephesians 5:21, Paul writes that Christians are to "submit to one another." So, do complementarians hold to "mutual submission?" Piper and Grudem provide a helpful answer:

Yes, we do. But "the way Paul teaches" mutual submission is not the way everyone today teaches it. Everything depends on what you mean by "mutual submission." Some of us put more stress on reciprocity here than others. But even if Paul means complete reciprocity (wives submit to husbands and husbands submit to wives), this does not mean that husbands and wives should submit to each other in the same way. The key is to remember that the relationship between Christ and the church is the pattern for the relationship between husband and wife. Are Christ and the church mutually submitted? They aren't if submission means Christ yields to the authority of the church. But they are if submission means that Christ submitted Himself to suffering and death for the good of the church. That, however, is not how the church submits to Christ. The church submits to Christ by affirming His authority and following His lead. So mutual submission does not mean submitting to each other in the same ways. Therefore, mutual submission does not compromise Christ's headship over the church and it should not compromise the headship of a godly husband.