I have a Sling Box and it does what it says it will do. (For computers and smart phones) With a lot of hotels, campsites etc offering broadband you can control you Tivo Box, Sky (equivalent), with the picture of the relevant remote control you use at home and everything can be done including record programs and play back already recorded programs plus all the channels you have on your home box.
Limitations I believe would be a weak broadband signal at either or both ends which would cause juddering of breakages but so far I have not been in that situation. I would imagine on a campsite you may be limited by the number of campers all logging into the campsite wifi but I don't know.
Brilliant for me and I expect this is duplicating what has been said somewhere on here before but cannot find anything relevant except this 2009 post.
Note since 2009, most broadband is now much faster and for those with 4G then the world could be your winkle.