Avoiding spam filters and ISP blocks are a common issue with self hosted email.
Ideally you’ll have a mature domain, dkim configured and an IP that’s not blacklisted on a network that allows email traffic.
OVH offers pretty cheap email hosting if you just want a turn key solution.
Otherwise if you want your home lab to work this way you may need to configure something akin to a forward proxy on a VPS to act as a gateway for your homelab.
This could be achieved using wireguard and iptables. By routing the email traffic to your homelab.
So it depends. For example some legacy apple stuff had a bad DHCP implementation where it would try to hold onto an IP address it had before.
When there’s one DHCP server with a reserved ip it won’t assign that ip to the wrong device. (Unless you’re running some buggy software that takes your configuration as suggestions)
Where the advice to set it anyways comes from scenarios where that DHCP server goes down for long enough that everyone starts self assigning addresses. It’s a real hassle to find the correct system when that happens.