No, the speaker of Owen's poem would not agree with the idea that it is sweet and right to die for one's country.
The poem describes the horrors of war: the fear, the exhaustion, the suffering. The speaker wonders why people at home would support young men dying like this.
At the end of the poem, the speaker says the idea that it is sweet and right to die for one's country is "the old Lie."
Remember
By Christina Rossetti
Remember me when I am gone away,
Gone far away into the silent land;
When you can no more hold me by the hand,
Nor I half turn to go yet turning stay.
Remember me when no more day by day
You tell me of our future that you plann'd:
Only remember me; you understand
It will be late to counsel then or pray.
Yet if you should forget me for a while
And afterwards remember, do not grieve:
For if the darkness and corruption leave
A vestige of the thoughts that once I had,
Better by far you should forget and smile
Than that you should remember and be sad.