Are those sv_pure 1 or 2 servers? Because if they are that's how the mod will work, trippy lines in some textures. (Valve Servers are set to sv_pure 1 at default)
Try playing in a sv_pure 0 server and see if it works.

http://etf2l.org/forum/customise/topic-17728/ This is your best bet for completely clean tf2.

With the files there's a "works in sv_pure" folder, a "works differently in sv_pure" folder and etc. I installed the singular file in "works in sv_pure" and it still tripped out for me.

I will try that, thank you :)

If that doesn't work after digging a little bit I found this one, haven't tested it out though: http://www.mediafire.com/download/n31at80ti1k6hhi/simpletextures.zip
Put it on the custom folder, supposed to work on sv_pure

Is there any way to get the other parts of Clean TF2 working again? i,e the full bright and clean textures?

https://www.youtube.com/watch?v=BKqGjCjs1Gg i miss when this was my game

Just tried this in sv_pure 2, still showed the weird lines over everything

You need to remove some of the broken .vpks. I don't remember if it was only the unlit world and unlit nofog world or if there was something else also. Skim through the CleanTF2 thread and you'll find posts about the same problem and the fix.

There is no true sv_pure fix yet :(

The only way to get it to work is to preload any map you want to play in an sv_pure 0 (or listen) server first.

Its possible that someone could make a single map to preload all maps at once, but apparently this would take a lot of work.

http://www.teamfortress.tv/15286/quake-textures

this works pretty well for me