Passage
All the saints salute you, chiefly they that are of Caesar’s household.
All the saints salute you, chiefly they that are of Caesar’s household.
Philippians 4:20 Now unto God and our Father be glory for ever and ever. Amen.
Philippians 4:21 Salute every saint in Christ Jesus. The brethren which are with me greet you.
Philippians 4:22 All the saints salute you, chiefly they that are of Caesar’s household.
Philippians 4:23 The grace of our Lord Jesus Christ be with you all. Amen.
The verse centers on "saints", "salute", "chiefly", "caesar", and "household". It is saying that the verse draws attention to "saints" and "salute", so its meaning should be read from those terms before moving to application.
The nearby context moves from verse 21's "Salute every saint in Christ Jesus The..." into verse 23's "The grace of our Lord Jesus Christ...", so "saints" and "salute" belong inside that flow. In Philippians context, the local focus is Christ, faith, and discipleship.
A plain takeaway is to answer the verse's own emphasis on "saints" and "salute" with trust shaped by these words, not by a vague optimism outside the passage.