I think if you went in there, and it was a mad-house with arguments all over the place ... and you tried to keep your sense of humour, didn't get involved in any of the spite but tried to act as a peacekeeper or at least a shoulder to cry on, had a few laughs in the face of adversity (and I use that term loosely, I know it's frivolous compared with real world problems) and basically acted with intelligence and integrity then your family and loved ones have a good reason to be 'proud' of you ... for surviving a stressful situation without hurting anyone and trying to care for people.
(Mind you, the viewers would probably see you as a boring fence-sitter with a 'nice guy gameplan' and vote you off straight away, but at least you made your family proud

)
But I know what you're saying, if I'd acted less than impeccably and I got a phone call/letter from a loved one saying how
proud they were of me then I'd be

and thinking they should have a word with themselves.
Oh, edited to add: I do agree that I think Daniella's and Darren's loved ones do have a case to be proud of them in certain respects - it can't be easy being in that pressure cooker (and we all know production staff deliberately ramp up the tension) with drink flowing every night and people around you getting drunk and partying and you can't. I would struggle doing Dry January in that place, and I'm not even that much of a drinker!