Have you heard the expression, "I am a sinner saved by grace?" Is this a
true statement? Let me present some thoughts and Scriptures to you and
then take them before the Lord as you seek to answer.

"Therefore you are no longer outsiders (exiles, migrants, and aliens,
excluded from the rights of citizens), but you now share citizenship with
the saints (God's own people, consecrated and set apart for Himself);
and you belong to God's [own] household." Ephesians 2:19

Here the Apostle Paul addresses the church at Corinth,
"To the church (assembly) of God which is in Corinth, to those consecrated
and purified and made holy in Christ Jesus, [who are] selected and called to
be saints (God's people), together with all those who in any place call upon
and give honor to the name of our Lord Jesus Christ, both their Lord and
ours." 1 Corinthians 1:2

Concerning the family of God, His household:
"But to as many as did receive and welcome Him, He gave the authority
(power, privilege, right) to become the children of God, that is, to those
who believe in (adhere to, trust in, and rely on) His name." John 1:12

"For [the Spirit which] you have now received [is] not a spirit of slavery
to put you once more in bondage to fear, but you have received the Spirit
of adoption [the Spirit producing sonship] in [the bliss of] which we cry
Abba (Father)! Father!" Romans 8:15

"And I will be a Father to you, and you shall be My sons and daughters,
says the Lord Almighty." 2 Corinthians 6:18

"...God sent His Son...To purchase the freedom of (to ransom, to redeem, to
atone for) those who were subject to the Law, that we might be adopted and
have sonship conferred upon us [and to be recognized as God's sons].
"And because you [really] are [His] sons, God has sent the [Holy] Spirit of
His Son into our hearts, crying Abba (Father)! Father!" Galatians 4:4-6

Of this spiritual relationship we see in our opening Scripture that all
barriers are broken down, we also see:
The saints in heaven and earth are united:
The Apostle Paul in Ephesians 3:14-15 says,
"For this reason [seeing the greatness of this plan by which you are built
together in Christ], I bow my knees before the Father of our Lord Jesus
Christ,
"For Whom every family in heaven and on earth is named [that Father
from Whom all fatherhood takes its title and derives its name]."

And glory upon glory,
"For both He who sanctifies [making men holy] and those who are sanctified
all have one [Father]. For this reason He is not ashamed to call them
brethren." Hebrews 2:11

As you ponder the question I raise above, I will share my thoughts. I
believe the statement "A sinner saved by grace." is the earthly view. The
above Scriptures are what we now possess in Christ and are from God's
vantage point, therefore my answer is that it is not a true statement. What
I am by the grace of God is a saint.

To your seeking of the answer, let me add the following:
I have used the Amplified Bible for all the Scriptures today and in this
translation the following is how saints are referred to:
Both letters to the Corinthians refer to saints as 'God's people'.
In Ephesians 1:1 saints are referred to as: 'the consecrated, set-apart
ones'.
Philippians 1:1 refers to saints as 'God's consecrated people'.
Colossians 2:2 refers to saints as 'the consecrated people of God'.

The New American Standard Bible (the one I use most often) refers to saints
as 'holy ones'.

In 2 Thessalonians 1:10 His saints are described as 'them that believed' as
stated in Vine's Expository Dictionary.

May the Lord guide your digging deeper into His Word and may you be
blessed with a greater knowledge of who you are by the grace of God.

Praise You Father, Bless You Jesus and Thank You Holy Spirit for the mighty
work You have done, are doing and will continue to do in each life that
belongs to You. Amen