This Truth also confirms Justification before Faith !
You quoted Romans 5:10 ... you do know that Romans 5:1 comes before Romans 5:10, yes?
God expects us to recall (keep in mind) what we read 9 verses prior to reading Romans 5:10:
Romans 5:1 Therefore being justified by faith, we have peace with God through our Lord Jesus Christ
and God expects us to recall what we read just prior to Romans 5:1 ...
Romans 4:
20 He [Abraham] staggered not at the promise of God through unbelief; but was strong in faith, giving glory to God;
21 And being fully persuaded that, what he [God] had promised, he [God] was able also to perform.
22 And therefore it [Abraham's faith] was imputed to him for righteousness.
23 Now it was not written for his sake alone, that it [righteousness] was imputed to him;
24 But for us also, to whom it [righteousness] shall be imputed, if we believe on him that raised up Jesus our Lord from the dead;
25 Who was delivered for our offences, and was raised again for our justification.
5:1 Therefore being justified by faith, we have peace with God through our Lord Jesus Christ
vs 24 - righteousness is imputed when a person believes on him that raised up Jesus our Lord from the dead ... not before.
vs 1 - therefore being justified by faith ... the text does not read "therefore being justified before faith".