Yes he makes our burdens "lighter", but not non-existant.
The Holy Spirit is our "helper", but not our replacement.
Have you ever noticed how many times Jesus says.. "YOUR" faith is what makes something happen (or not happen as the case may be). This isn't a complete list by the way.
Matt 9:22 But Jesus turning and seeing her said, "
- .
Matt 9:29 Then He touched their eyes, saying, "It shall be done to you according to
your faith."
Matt 15:28 Then Jesus said to her, "O woman,
your faith is great; it shall be done for you as you wish." And her daughter was healed at once.
Matt 17:20 And He *said to them, "Because of the littleness of
your faith; for truly I say to you, if you have faith the size of a mustard seed, you will say to this mountain, 'Move from here to there,' and it will move; and nothing will be impossible to you.
Mark 2:5 And Jesus seeing
their faith *said to the paralytic, "Son, your sins are forgiven."
Mark 5:34 And He said to her, "Daughter,
your faith has made you well; go in peace and be healed of your affliction."
Mark 10:52 And Jesus said to him, "Go;
your faith has made you well." Immediately he regained his sight and began following Him on the road.
Luke 5:20 Seeing
their faith, He said, "Friend, your sins are forgiven you."
Luke 7:50 And He said to the woman, "
Your faith has saved you; go in peace."
Luke 8:25 And He said to them, "Where is your faith?" They were fearful and amazed, saying to one another, "Who then is this, that He commands even the winds and the water, and they obey Him?"
Luke 8:48 And He said to her, "Daughter,
your faith has made you well; go in peace."
Luke 17:19 And He said to him, "Stand up and go;
your faith has made you well."
Luke 18:42 And Jesus said to him, "Receive your sight;
your faith has made you well."
The opposite is true also.
Matt 13:58; And He did not do many miracles there because of their unbelief.
I would say it's closer to the truth to say Jesus/God won't do anything without us.
Now of course He is God, He can do do whatever He wants (with or without us).
But as a rule, it's our faith (or lack of) that makes things happen or not happen.