Even when they tell you how much they love you and want to support you?
Well....yes?
First, personally, I kind of have a thing about the word "love". The word tends to make me want to run, because it feels dangerous. (Most likely that's just me.)
Wanting to support me? Honestly, that feels like an overwhelming responsibility that I'm probably going to fail to live up to. Maybe that doesn't make sense? The thing is, if someone wants to "help" you, you have an obligation to be "helped". You have to, somehow, let them succeed or they'll feel bad and it will be all your fault and everything will just blow up.... (I'm not claiming this is rational. We're way out in an area where I have no idea what "rational" actually IS.) But, what this seems like is that I'm responsible for "feelings" beyond my own (which is complicated enough) and I'm probably going to disappoint them.
So, after all that, if someone says it hurts them if I leave....... I don't know. In all seriousness, maybe I'd be better off if I just died and got it over with. I know that probably sounds awful. The thing is, these kinds of situations can potentially feel like exactly that much of a trap.
Personally, what I find helpful is someone who doesn't want to help me, or fix me, or anything of the sort. It's someone who is just willing to let me be who I am, in that moment, and be ok with it, because I kind of have to be.
Again, different people experience this stuff differently. This is just me. It truly would not occur to me that anyone would be hurt by me, disappearing. (It always surprises me to learn anyone wants me around at all!) But, sometimes having to be what someone wants you to be is just too much. :(