I used keePass before LastPass, but the issue was with keeping the file synced. I had it in Dropbox and I was able to open it no problem from the phone, but making updates from phone was a challenge. Maybe I was not using a good app but it was a hassle to keep it synchronized.

But anyway, somebody could cut off your access to Dropbox, but it’s less of an issues since you have a backup.

I simply don’t sync my vault. I don’t add or change passwords very often, so I treat the vault in my computer as a “main copy” and once a week, during my backup routine, I copy the current vault to my phone. Never had an issue.