If we don't know what "manipulating information through time" means, then how can we possibly know how long it takes the aliens to do it, for any amount of information?
I can think of several types of time-travel where the size of the data is irrelevant to transmission time:
1) Time-transmission works not by syncronizing two separate time flows but by retroactive "editing" or direct changes to the universe at a discreet instant in the past - like making changes to one frame of a movie, the change appears instant to us here in the past.
2) Time-transmission works by dropping off the data stored to some kind of digital storage device, like a small flash drive. Since you have to send the whole drive for it to work, it doesn't matter if the drive has 1k of text data or 512 mb of PowerPoint slides on the infection.
There's other indications that bandwidth was not an issue - for instance, when transmission time is a premium, the first thing you don't do is use an intercaps character set; if you restrict to all upper or lower case letters and limited punctuation, you can cut an entire bit off of every character.
Instead, they sent an extra bit of data
per character in order to have appropriate punctuation and capitalization. As short as it is, the message is
too long and too "frilly" to have been sent under a situation where data transmission was a premium. It's much more likely that the limiting factor was our end, and there's a number of places on the internet that could accept a 1 gig file transfer, or 100 gigs, or whatever, about as fast as they could accept a < 1k file.