And it seems that Rina is the one who masked the bond to Elyas, which is just another case of the bondholder masking it. And the Min scene is interesting (I still think she could do it if she tried hard enough, much like ignoring the heat/cold...and we've seen channelers have trouble with even that trick) but it still doesn't prove that someone who has been bonded can mask the bond, channeler or not.
Min's case doesn't prove much, except to possibly say that non-channelers cannot do it.

Toviene clearly states she could fell Logain going at it, and was worried she couldn't sleep. But that doesn't prove anything. For one, Toveine is a Red, and knows nothing about Warders. For another, they may not want to tip the Asha'man off, or their instructions might include not trying to hide themselves. We just can't use the bond with the extra-bit as saying anything conclusive about the normal bond.

I doubt Rand has been holding the OP every time Alanna tried to control him. She just can't do it, and that seems to be a function of his being able to channel. And I think its reasonable to assume that if this major aspect of the bond is changed because of the bonded person being able to channel, nothing says something simpler like masking won't change too.