I agree with what the well-known television pastor says!
I believe that they were regenerated then and there.
The issue is what you mean by "saved." Where OT saints saved, such as Simeon the devout priest was just and devout, waiting for the consolation of Israel: and the Holy Ghost was upon him, even though Christ had not died, and the Spirit poured out on all flesh?
What of a man like his faith after the resurrection who had not heard of Christ?
Would the devout Jews of Abrahamic faith on the day of Pentecost have been damned if they had died before they heard of Christ?
Would the followers of John the Baptist been damned if they had died before the heard and believed on Christ in Acts 19, even though they prepared for Him?
In what way were the apostles saved after the resurrection that they were not before it?
Or was it impossible that such seekers would not be enlightened about Christ?
I submit that if the latter is possible, then they would have been saved as men in the OT, but would not have known in this life the removal of their sins or necessarily the reception of the Spirit of God.
NT salvation is not simply being saved from Hell, which OT believers were but could not go to be with the Lord in glory till the resurrection, but NT salvation is "so great salvation" (Heb. 3:2) as it is "Not by works of righteousness which we have done, but according to his mercy he saved us, by the washing of regeneration, and renewing of the Holy Ghost." (Titus 3:5)
Believers in this life are "are washed, but ye are sanctified, but ye are justified in the name of the Lord Jesus, and by the Spirit of our God." (1 Corinthians 6:11)
Meaning not just having sins forgiven under the rubric of the atonement to comes as in the OT,. but their sins put away, and declared righteousness, and receiving the Spirit.