I would. Battling depression/suicide would allow me to better understand her. I don't mind listening or talking through things, and I don't generally unload on people, so wouldn't weight down my partner. I would hope we could help each other and get better, survive.
I think if she would just be there for me that would be enough, hold and hug on the tougher days. I could help her by her not having to work if that's causing issues with recovery for her, could travel abroad often if wanted, or stay in - great at planning outdoor and staying-in activities. Also introduce her to some of my friends if she needed a new friends circle. Help her doing any day to day chores, if she is struggling with shopping, or going out, or going to a therapist if it's something she would like. Or just talking through and listening for hours.
Despite being depressed and having suicide on my mind, I am very upbeat and people say happy day to day, so I don't think I would wear down my partner with my thoughts, and other than that have my shit in life together. Being of the similar mind would allow us to connect and understand each other fully, knowing that sometimes there is no right thing to say but just listen, I think it would be very helpful for both.