I think the issue is that there are people who refuse to go online but see others as PAs. They want the benefits of being able to find information, book tickets, buy things and so on, but expect others to do it for them. A friend of mine's husband was like that - he was scornful of people who (as he saw it) were daft enough to give their card details online, then asked her to get him something on eBay using her card. She didn't 
I used to be in a craft group where it was difficult to keep in touch as a couple of people flat-out refused to use FB or WhatsApp, even though both are free and easily available. Some would use email, but that is so clunky, others wanted a telephone tree, as they 'don't do' texts (!!). It was very difficult to let people know if something got cancelled, or just pass on news such as a yarn sale in the area, or whatever. But (and this, I suspect, is the issue the OP raises) there were those who thought the solution was for those with WhatsApp to get the messages that way and then let them know using the medium of their choice. So those opting into the convenient way of doing things were the ones getting the inconvenience, and vice versa.
As a non-driver, I don't see the parallel, really. I have no objection to asking my husband for a lift somewhere (and he is happy to drive me). If he is unable to, I get the bus, taxi or train, or I don't go. If someone asks me to accompany them somewhere inaccessible I might say I can go, but they will have to drive, so they get a companion and I get a lift. I wouldn't suggest going somewhere in their car though. I don't think I have ever asked someone to take me somewhere.
I do accept lifts, but reciprocate via my husband. I am going to a group activity on Thursday, for instance, and my husband is running me there and back. I have asked who else would like to go in our car, and two people have accepted. Next time I might be a passenger in someone else's - it all works out. If I got a sniff that someone resented my getting a lift as a non-driver I wouldn't accept one from them.