I agree with your sharing of how we are washed, Yes
I think I disagree with what you think happens after we are cleansed.
This kind of discussion can be summarised with Jesus's comment
"Go now and leave your life of sin" John 8:11
8 For if you possess these qualities in increasing measure, they will keep you from being ineffective and unproductive in your knowledge of our Lord Jesus Christ.
9 But if anyone does not have them, he is nearsighted and blind, and
has forgotten that he has been cleansed from his past sins.
10 Therefore, my brothers, be all the more eager to make your calling and election sure.
For if you do these things, you will never fall,
11 and you will receive a rich welcome into the eternal kingdom of our Lord and Savior Jesus Christ.
2 Peter 1:8-11
The idea of never falling, is such an aspiration of perfect walking, here Peter putting forward to believers.
Paul talks of perfection
Aim for perfection, listen to my appeal, be of one mind, live in peace.
2 Cor 13:11
18 But the things that come out of the mouth come from the heart, and these make a man 'unclean.'
19 For out of the heart come evil thoughts, murder, adultery, sexual immorality, theft, false testimony, slander.
20 These are what make a man 'unclean'; but eating with unwashed hands does not make him 'unclean.'
Matt 15:18-20
A heart that desires walking the way of love is deeply wounded by unclean and wrong behaviour.
But this walk is impossible unless driven by Jesus and His ways.
Our walk in Christ always starts with the aspiration we will end with Christ.
For some this cannot be true, because the promise must always finish with Christ or the walk is false.
Jesus disagrees, and warns us that the goal is where we must be, even though the start can be good, it could fail.
For some this admitting failure is possible, denies Jesus and His power, except it is Jesus who told us this.
The parable of the seed and the sower is about who we are dictates the outcome, if we are not good soil, then little wonder things go ary.