Can I SSH with key and then have a simple password for the sudo user?

So I have a server which I connect to with SSH and a key.

I have disabled SSH password login on my normal user. When I use sudo, it's super annoying to having to copy and paste the complex password every time.

What would the implications of using a very simple password (like "1234" or "odus") be, when password login is disabled entirely, and my user is in the sudo group?