If you're putting both recorders at the same location, a bigger concern might be how to control 1 of the recorders without affecting the other as well. Unless you know that this particular model has different user selectable code sets, you'll have to invest probably $100 or more in additional money to get around this problem.
As far as your TSU2000 is concerned, I doubt seriously that any popular recorder would present a problem with learning codes. At least, I haven't heard of these devices being a problem.
I looked in the files area, see here:
[Link: remotecentral.com], and there are discrete codes listed. Since there are 3 code sets, MAYBE these models do allow user selectable sets.