That kind of "evidence" is completely unconvincing and would be thrown out of court.
Paul signs all of his epistles:
2Th 3:17 KJV The salutation of Paul with mine own hand, which is the token in every epistle: so I write.
Rom 1:1 KJV Paul, a servant of Jesus Christ, called to be an apostle, separated unto the gospel of God,
1Co 1:1 KJV Paul, called to be an apostle of Jesus Christ through the will of God, and Sosthenes our brother,
2Co 1:1 KJV Paul, an apostle of Jesus Christ by the will of God, and Timothy our brother, unto the church of God which is at Corinth, with all the saints which are in all Achaia:
Gal 1:1 KJV Paul, an apostle, (not of men, neither by man, but by Jesus Christ, and God the Father, who raised him from the dead
Eph 1:1 KJV Paul, an apostle of Jesus Christ by the will of God, to the saints which are at Ephesus, and to the faithful in Christ Jesus:
Php 1:1 KJV Paul and Timotheus, the servants of Jesus Christ, to all the saints in Christ Jesus which are at Philippi, with the bishops and deacons:
Col 1:1 KJV Paul, an apostle of Jesus Christ by the will of God, and Timotheus our brother,
1Th 1:1 KJV Paul, and Silvanus, and Timotheus, unto the church of the Thessalonians which is in God the Father and in the Lord Jesus Christ: Grace be unto you, and peace, from God our Father, and the Lord Jesus Christ.
2Th 1:1 KJV Paul, and Silvanus, and Timotheus, unto the church of the Thessalonians in God our Father and the Lord Jesus Christ:
1Ti 1:1 KJV Paul, an apostle of Jesus Christ by the commandment of God our Saviour, and Lord Jesus Christ, which is our hope;
2Ti 1:1 KJV Paul, an apostle of Jesus Christ by the will of God, according to the promise of life which is in Christ Jesus,
Tit 1:1 KJV Paul, a servant of God, and an apostle of Jesus Christ, according to the faith of God's elect, and the acknowledging of the truth which is after godliness;
Phm 1:1 KJV Paul, a prisoner of Jesus Christ, and Timothy our brother, unto Philemon our dearly beloved, and fellowlabourer,
Then we have HEBREWS:
Heb 1:1 KJV God, who at sundry times and in divers manners spake in time past unto the fathers by the prophets,
I'd say that this is FAR better evidence that Paul did NOT write Hebrews.