Such a strange phrase for me is this. Whenever I think/say it I immediately think about how i am going to be judged, I’m not sure why but I find it a point of interest.
“I feel…” isn’t “I feel” more like I think. If you felt something wouldn’t it simply be some sort of emotion or sensory expression rather than what others use this phrase for. I’ve heard many times someone saying “I feel like we should do this” or “I feel like staying in”. To me these type of sentences are thoughts and thus warrant “I think…”.
You don’t feel that the colour red would work well with a design, you think it.