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@unspeaker
Could be the case for a lot of people — they are just scared that if they get invested too heavily, the person they support might become emotionally dependent on them, which should be okay with friends, but being handled without proper experience it might escalate into something really ugly real quick. With intent or not, but some people are manipulative, some have victim's mindset — you having good intention and not being able to hold this off, they might start leeching off you.
@unspeaker
Especially now — when some people can't handle even basic social interactions, they aren't confident they're up to this and feel vulnerable. Hell, I can remember avoiding my friend when he had lost his father — I did want to support him, but I've been in an unhealthy situation before, didn't want to go there again. Looking back I might've even done the right thing — we're still good friends, had I gone for it then and not handled it properly, it very well might not be the case.