@NOYB:
I think the difference between the two ways that would be most likely to impact would be the NAT/Firewall settings I use to restrict WoL begin accepted from only a few static source IP addresses. Guessing your mobile device wouldn't have a static IP address. So the NAT/Firewall rule would have to accept any, or at least a much larger range, of IP addresses. But I think your NAT/Firewall rule already allows any address to accommodate the mobile device. Both ways should work with mobile device so long as the NAT/Firewall is configured to accommodate it.
It makes sense. I will start to monitor my cell phone IP just to see if its going to change.
Thank you!