The Dsus2 sounds more like the recording when played by sliding a C chord up two frets:
     C     Dsus2
E|---0---/---0---|
B|---1---/---3---|
G|---0---/---0---|
D|---2---/---4---|
A|---3---/---5---|
E|---x-------x---|

In the Intro and Instrumental Paul plays a lick from Dsus2 to C by adding a G inbetween:

   Dsus2            C
E|---0------0---0---0|
B|---3------3---0---1|
G|---0------0---0---0|
D|---4------0---0---2|
A|---5------3---2---3|
E|---x------3---3---0|


[Intro]
Dsus2    C
Dsus2    C G C G
(x2)


[Verse 1]
     C                     G
And death shall have no dominion.
   C                  G
Dead man naked they shall be one
         C                        G
With the man in the wind and the west moon;
             C                             G
When their bones are picked clean and the clean bones gone,
              C                  G
They'll have stars at elbow and foot;
  D                      C
Though they go mad they shall be sane,
             D                               C
Though they sink through the sea they shall rise again;
        C                        Dsus2
Though lovers be lost love shall not;
     C                   G
And death shall have no dominion.
     C                   G
And death shall have no dominion.


[Verse 2]
  C                G
Under the windings of the sea
            C                   G
They lying long shall not die windily;
   C                    G
Twisting on racks when sinews give way,
  C                             G
Strapped to a wheel, yet they shall not break;
  D                         C
Faith in their hands shall snap in two,
           D          C
And the unicorn evils run them through;
 C                            Dsus2
Split all ends up they shan't crack;
     C                    G
And death shall have no dominion.
     C                    G
And death shall have no dominion.


[Instrumental]
Dsus2    C
Dsus2    C G C G
(x2)


[Verse 3]
     C                    G
And death shall have no dominion.
    C                 G
No more may gulls cry at their ears
    C                       G
Or waves break loud on the seashores;
 C                         D
Where blew a flower may a flower no more
 C                    D
Lift its head to the blows of the rain;
 C                      D
Though they be mad and dead as nails,
 C                       D
Heads of the characters hammer through daisies;
 C                                   Dsus2  C
Break in the sun till the sun breaks down,
     C                   G
And death shall have no dominion.
     C                   G
And death shall have no dominion.
     C          Cadd9      G       C  G
And death shall have no dominion.