Re: Hmm...
“...but I feel like old fashioned references will still work - what makes a profile on linked-in more trustworthy?”
It depends on the location/past-employers - some of my previous employers go out of their way to provide useful references, while other companies who I worked for for a number of years (I believe with some success...) only provide “X worked for us from Y to Z” to all former employees requesting references as HR policy.
LinkedIn has provided future employers a way of verifying the details aren’t completely made up and new employers have general got informal verbal references from colleagues for roles I’ve applied for.
YMMV