For example: they leave at the speed of light for a star 50 light years away. On Earth 50 years pass but no time passes for the colonist. So when they arrive they are technically where the earth was 50 years before. They set up shop and transmit their wonderful ideas and technology, which takes 50 more years to be received. Which means it's 100 years out of date.
Meanwhile the Earth beams its ideas to the colonists. Even on they day the land, the colonist can tune into their favorite sitcom without missing an episode (because of course they were traveling side by side with those transmissions and the subsequent fifty years were following behind in a lovely tail of vapid entertainment). So the Earth's information is still quite useful to them.
And this disparity in value can never be corrected. If the Earth moans about the uselessness of the colonist 100 year old ideas and sends suggestions, the colonist will have been listening to the Earth for 100 years anyway before they hear those suggestions and will already moved far beyond them. Yet still be 50 years behind.
So a trade in ideas also seems unworkable.