I appreciate that Christians interpret the whole OT through a NT lens, as Muslims interpret them both through a Qu'ranic lens.
Yes, Christians interpret the OT thru the NT lens. We can do no other because of what Jesus said in John 16,
13 "But when He, the Spirit of truth, comes, He will guide you into all the truth; for He will not speak on His own initiative, but whatever He hears, He will speak; and He will disclose to you what is to come.
14 "He will glorify Me, for He will take of Mine and will disclose it to you.
15 "All things that the Father has are Mine; therefore I said that He takes of Mine and will disclose it to you.
What boggles the mind of Christians is how unbelievers think they can understand the OT or the NT without entering into relationship with the God of the Bible wherein He discloses Himself to you.