Thanks so much! I was really worried about having to deal with that extra bag! It's not going to have too much in in just some snacks and such (it's really a place to bring back everything I buy)!
You've already been told many times and your TA is SO off base here it is shamefull.
Just use common sense. What is the norm when flying business or first class? Yep, depending on who you fly and which itinerary the norm is 2 or 3 free checked bags. It would be beyond weird if DME would cap guests off at 1 suitcase and beyond that make it more of a hassle, seriously risking loosing guests that use DME for this part of the package.
I'm one of those international guests that do longer trips. My upcoming trip is 25 days. Only need about half a suitcase for the standard bagage stuff like clothes etc. However, there are some health issues. The end result? Hoping to keep it down to 4 fullsized suitcases and 2 carry ons after all the medical stuff kicks in, a powerchair and a manual wheelchair. Trips before can be described in many ways but travelling light when it comes to baggage is not one of them.

No blink from whomever involved, including DME.
I'ld say; have the TA get more tags for you as it is still the easiest way for you. A tagless bag does take longer for them to track down (can be done if you hand them the stubs) which can be a pain depending on you way of travelling, time of arrival etc. And when using the tag already for suitcase 1 it would be a bit weird IMHO to carry along suitcase 2 yourself. In that case you would've want to carry along suitcase 1 also and not use the tags to begin with.
You know the right info now, so in case TA would try to give you any other story; stick to it. It is part of the services a TA should supply you with. Lack of knowledge is no excuse, even more so when you HAVE that knowledge.
