Some mondegreens have slipped in in this thread.

The most important one is the fourth line of the first stanza, "Ever said, "Old Len's a match!"
It is really, "Had ever said: ‘Len’s a match!’" Here, "Len's" is a contraction of "Lend us". It's not a reference to someone named Len.

The very last line of the poem is not "At the back of the steerage push." It's "On the track of the steerage push."

The other differences between the words given in the first post in this thread, and Lawson's actual words, are pretty small. Here's the poem from https://allpoetry.com/The-Outside-Track

There were ten of us there on the moonlit quay,
    And one on the for’ard hatch;
No straighter mate to his mates than he
    Had ever said: ‘Len’s a match!’
"’Twill be long, old man, ere our glasses clink,
    ’Twill be long ere we grip your hand!"—
And we dragged him ashore for a final drink
    Till the whole wide world seemed grand.
            For they marry and go as the world rolls back,
                They marry and vanish and die;
            But their spirit shall live on the Outside Track
                As long as the years go by.

The port-lights glowed in the morning mist
    That rolled from the waters green;
And over the railing we grasped his fist
    As the dark tide came between.
We cheered the captain and cheered the crew,
    And our mate, times out of mind;
We cheered the land he was going to
    And the land he had left behind.

We roared Lang Syne as a last farewell,
    But my heart seemed out of joint;
I well remember the hush that fell
    When the steamer had passed the point
We drifted home through the public bars,
    We were ten times less by one
Who sailed out under the morning stars,
    And under the rising sun.

And one by one, and two by two,
    They have sailed from the wharf since then;
I have said good-bye to the last I knew,
    The last of the careless men.
And I can’t but think that the times we had
    Were the best times after all,
As I turn aside with a lonely glass
    And drink to the bar-room wall.

            But I’ll try my luck for a cheque Out Back,
                Then a last good-bye to the bush;
            For my heart’s away on the Outside Track,
                On the track of the steerage push.

And here are the words from the collection, Poetical Works. There are some very small differences between this and the words at allpoetry.com:

There were ten of us there on the moonlit quay,
    And one on the for’ard hatch;
No straighter mate to his mates than he
    Had ever said: ‘Len’s a match!’
"’Twill be long, old man, ere our glasses clink,
    ’Twill be long ere we grip your hand!"—
So we dragged him ashore for a final drink
    And the whole wide world seemed grand.
            For they marry and go as the world rolls back,
                They marry and vanish and die;
            But their spirit shall live on the Outside Track
                As long as the years go by.

The port-lights glowed in the morning mist
    That rolled from the waters green;
And over the railing we grasped his fist
    As the dark tide came between.
We cheered the captain and cheered the crew,
    And our mate, times out of mind;
We cheered the land he was going to
    And the land he had left behind.

We roared "Lang Syne" as a last farewell,
    But my heart seemed out of joint;
I well remember the hush that fell
    When the steamer had passed the point
We drifted home through the public bars,
    We were ten times less by one
Who sailed out under the morning stars,
    And under the rising sun.

And one by one, and two by two,
    They have sailed from the wharf since then;
I have said good-bye to the last I knew,
    The last of the careless men.
And I can’t but think that the times we had
    Were the best times after all,
As I turn aside with a lonely glass
    And drink to the bar-room wall.

            But I’ll try my luck for a cheque Out Back,
                Then a last good-bye to the bush;
            For my heart’s away on the Outside Track,
                On the track of the steerage push.