I know this matt7 is a favorite verse for the JHW, mainly because they have no powers of the Lord behind them. The bible says;
Ac:1:8: But ye shall receive power, after that the Holy Ghost is come upon you: and ye shall be witnesses unto me both in Jerusalem, and in all Judaea, and in Samaria, and unto the uttermost part of the earth.
I believe that Smith Wigglesworth had this power, and believed the Word of God as his final Word, so He believed not only he is a son, but also I believe he knew that he was an disciple, and high priest of God, so Wiggleworth just used the authority that was given to him like M't:10:1: And when he had called unto him his twelve disciples, he gave them power against unclean spirits, to cast them out, and to heal all manner of sickness and all manner of disease.
M't:10:7: And as ye go, preach, saying, The kingdom of heaven is at hand.
M't:10:8: Heal the sick, cleanse the lepers, raise the dead, cast out devils: freely ye have received, freely give.
I know sickness is from the devil, and if Wiggleworth heal the sick with the power of Jesus, and cast out demons, and raised the dead this was a attack against the devil, and many people turned and believed the Lord even more, and people repented and got saved by the thousands in Wiggleworth meeting so Wiggleworth was really showing that Jesus was in him and worked through him.
M't:12:25: And Jesus knew their thoughts, and said unto them, Every kingdom divided against itself is brought to desolation; and every city or house divided against itself shall not stand:
M't:12:26: And if Satan cast out Satan, he is divided against himself; how shall then his kingdom stand?
M't:12:27: And if I by Beelzebub cast out devils, by whom do your children cast them out? therefore they shall be your judges.
M't:12:28: But if I cast out devils by the Spirit of God, then the kingdom of God is come unto you.
I beleieve that Wiggleworth had a strong faith to remove mountain like M'r:11:22: And Jesus answering saith unto them, Have faith in God.
M'r:11:23: For verily I say unto you, That whosoever shall say unto this mountain, Be thou removed, and be thou cast into the sea; and shall not doubt in his heart, but shall believe that those things which he saith shall come to pass; he shall have whatsoever he saith.
M'r:11:24: Therefore I say unto you, What things soever ye desire, when ye pray, believe that ye receive them, and ye shall have them.
M'r:11:25: And when ye stand praying, forgive, if ye have ought against any: that your Father also which is in heaven may forgive you your trespasses.
I don`t know why Wiggleworth could not heal his own family, but maybe his faith fell looking at his own family like peter looking at his situation when he was walking on the water.
Peter took his eyes off of Jesus, and he started to sink, so could this be by WiggleWorth.
I know also many people followed Jesus because of the powers on him and the way he cast out demons, and raised the dead destroying satan kingdom and thousands have followed HIM because of his signs and wounders, praise God.
Benny Hinn is another anointed pastor that has the power of God on him, and Just as people talked bad about Jesus, so will men try to talk bad about people with true powers of God on them using scriptures like Matt 7, to back up themself because there is no anointing on their life, and no signs that Jesus is in them so most people judge and say this is from the devil.
I hope you get my point.
Most people who don`t believe that Jesus is God have a great problem believing the power of God on other anointed men of God, and they call them phonies and fakes of the gospel ,not knowing that the Holy Spirit is behind the miricles, and wounder.
M'r:16:17: And these signs shall follow them that believe; In my name shall they cast out devils; they shall speak with new tongues;
M'r:16:18: They shall take up serpents; and if they drink any deadly thing, it shall not hurt them; they shall lay hands on the sick, and they shall recover.