DNS Owner - Computername$ or dhcpdns service account

Curious if this matters, but I have DNS records where the owner is the COMPUTERNAME$ if say I were to delete the DNS entry and on the PC run ipconfig /registerdns.

Then I have some DNS records where the owner is dhcpdnssvc which is a domain user account with a strong password.  This account is plugged into all DHCP servers (2008 R2).

Lets say the computername$ hosts it.  What if the computer goes offline for 8 days, then upon return DHCP gives it a new IP address (lease times are 8 days).  Will the dhcpdnssvc have authority to update it?

I don't use DNSUpdateProxy group because the DHCP in question at least at the main office is also a domain controller.  The backup DHCP server is also a domain controller, so we use the AD user account.

Thanks for your insight.