Well done for first steps. Even (one of) mail servers' IPv6 record has a valid reverse record, very nice!
Now, how about adding reverse to the main AAAA too?
Also, what's up with one of MX'es lacking IPv6 address? With both mail.linkedin.com and mail-c.linkedin.com having the same priority (10), that's a recipe for 50% of delivery attempts randomly failing to IPv4.
$ dig +short aaaa linkedin.com
2620:109:c002::6cae:a0a
$ dig +short -x 2620:109:c002::6cae:a0a
(no reply)
$ dig +short mx linkedin.com
10 mail-c.linkedin.com.
10 mail.linkedin.com.
$ for i in mail.linkedin.com. mail-c.linkedin.com.; \
do echo $i; dig +short aaaa $i; done
mail.linkedin.com.
(no reply)
mail-c.linkedin.com.
2620:109:c006:104::215
$ dig +short -x 2620:109:c006:104::215
mail-c.linkedin.com.