I agree with HF.
90L is clearly - to anyone who has watched the genesis of the system - the remnants of Alma. It clearly has a LLC, with 35mph winds (according to the latest info I've found). Therefore, technically, it IS Tropical Depression Alma, whether the NHC wants to recognize it at this time or not. As I understand the naming rules as most recently modified a few years back, since Alma weakened below T.S. strength, if this system were to strengthen, it would be renamed to Arthur - but it's over land already, so that is not going to happen, unless it survives the passage over the Yucatan and emerges into the BOC or the GOM, and then re-strengthens.
IF that occurs.. and I'm sitting firmly on the fence as to whether I believe it will ... I believe NHC will rechristen the system TD One-A (although they don't use the -A designation publicly in the Atlantic basin, this would be a good use of it, in the sense that this is really an addendum to TD One-E

)... and if it were to strengthen it would logically be given the name Arthur.
Having said all of that, the circulation does seem to be holding itself together over land this morning.