SI has nothing to do with SUI. SI is an attempt to feel better. SUI is wanting to end everything.

Don't compare yourself to others. Two people can go through the exact same trauma, but will react differently. Two people who have the same diagnosis might have different symptoms. However severe or however you experience pain: pain is pain.

Only you (and maybe your doctors) can determine if your SUI thoughts are significant. Is having these thoughts new to you? Do they bother you?

I both SI and have SUI thoughts. Both are "typical" for me. Some days my thoughts are just fleeting: "Ugh, I just want to shoot myself". Some days they are worse and I think of actual plans. Interesting enough, neither are dangerous for me. It's when I have both SI and SUI thoughts that I'm in danger. But that's just me.

Don't minimize your thoughts. If they are worrisome to you, you should talk to your doctor. Get help before you wind up in a crisis and wind up in a dangerous situation.