Losing backups is problematic, but IMO the bigger issue is losing access. I care 10x more about emails that I haven't received yet, compared to my history. I am still not wanting to lose that history... but it is just not as big a deal.
The only way to cover that case is run your own mail server.
I've done that in the past, don't recommend it unless you have a real need and know what you're doing. It wasn't hard, but just extra work that I wasn't sure was worth it.
All your previous emails are lost, aren't they? Even you have local backup of them somehow, they are not equivalent to emails saved to your server?