Jeni I think those are the ones I have too. Not sure. I bought mine at the bead store and was thinking they were Beadsmith but mine don't have a name printed on them either so I guess they are not beadsmith pliers.
Those have been good for me too. The RX Lindstroms are long though and I really like that since I have bigger hands. If I remember correctly last time I measured them they are about six inches long so the handles are slightly longer than most pliers I have found.
Anyhoo I don't think it's absolutely necessary to have Lindstroms, there are plenty others out there that work well and are a good mid range price.
Some others that I heard are supposed to be good are, Wubbers, Tronex, and Swanstroms. These are probably more costly as well though.
I know the very first set I bought came with a mini tool box from Michaels. They were black and yellow and while they got me through the first year I'm so glad to be rid of them! The chain nose pliers actually had the ridges on them like regular pliers. Glad I bought them though so I didn't spend a fortune on something I wasn't sure I would keep up with.