Well no, but Djokovic not making it wouldn't have mattered in the grand scheme of things. Counting valid withdrawals separately (when both players had a chance of meeting had they played)
AO (2 meetings)
Djokovic didn't do it 3 times (09, 14, 17)
Djokovic withdrawals -> 1 time - 2022
Nadal didn't do it 7 times (08, 11, 15, 16, 20, 21, 23)
Nadal withdrawals -> 2013, 2024
RG (10 meetings)
Djokovic didn't do it 5 times (10, 11, 17, 18, 19)
Djokovic withdrawals -> never withdrawn from RG
Nadal didn't do it 1 time (16)
Nadal withdrawals -> 2023
Just based on that data alone, if Djokovic matched Nadal (only failed to make the appointment once, withdrew once) they would have met at the AO 4 times compared to the 10 times they met at RG. However, if Nadal hadn't withdrawn from 2 AOs and made the appointment all but 5 times, they would've met another 4 times.
Djokovic and Nadal's early success on clay contributes 2 matches to their RG total (06 and 07) while neither really blossomed at the AO until 08. Another 2 matches are contributed to Nadal's greater consistency at RG than Novak at AO. But 4 matches are due to Nadal withdrawing more often and failing to make the appointment.
If we were to give the opponent the win for each match their opponent was responsible for missing, the AO would be 6-2 for Djokovic and their slam H2H would be 13-11 for Nadal - and that doesn't even account for Wimbledon or the USO.
Of course we can't just gift wins like that, but a cursory glance at the numbers support that Nadal is more responsible for the lack of meetings at the AO, though not wholly responsible.
To follow up on this, the Wimbledon numbers and USO numbers:
WIM (3 meetings)
Djokovic didn't do it 2 times (08, 10)
Djokovic withdrawals -> 0 times.
Nadal didn't do it 5 times (13, 14, 15, 19, 22)
Nadal withdrawals -> 5 times - 09, 16, 21, 23, 24
(We can even count 06 as a Djokovic fail too if you want).
That's 10 times Nadal made it impossible for them to meet at Wimbledon and 2-3 times Djokovic did. Meaning Djokovic made the appointment as many times at Wimbledon as Nadal did at RG, but Nadal made them miss the appointment 9 (I won't count 2009 since Djokovic didn't make the final) times at WIM as opposed to Djokovic's 5 at RG. If you made half those meetings happen (approximately +1 win for Nadal, +4 for Djokovic) practically the entire slam H2H lead dissolves. And that's if they played only 9 times at Wimbledon in addition to the 10 they played at RG.
USO (3 meetings)
Djokovic didn't do it 1 time (19)
Djokovic withdrawals -> 2 times - 17, 22
Nadal didn't do it 4 times (07, 15, 16, 18)
Nadal withdrawals -> 5 times - 12, 14, 20, 21, 23 (2014 a weak withdrawal since no guarantee Novak makes it to Nadal either)
Again, Djokovic responsible for missing Nadal about 3 times. Nadal, on the other hand, made them miss out on meeting each other approximately 8 times (not counting 2014). If they had met all those times, you can bet that the H2H would be very different than 2-1 Nadal - just like if Novak had lost earlier in RG 06-08 there would be 3 fewer lost matches on Novak's side at RG.
All this isn't to say Djokovic would've led the slam H2H with more meetings. That's unknowable. But what we can certainly say is it's not Djokovic's fault they didn't play more often at the other venues. And when they didn't play it was most often because Nadal was either taken out earlier or injured. If I had to guess who would win those hypothetical matches, I'd do with the person who made it further/isn't injured. But again, we can't say for sure.