I don't think the SAm 2580TV was ever bundled with a traffic receiver, but it says in the specifications that it's traffic compatible although there's no GTMxx listed under 'Accessories':
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However the Quick Start Guide has this to say:

2580 TV traffic

The FM traffic of GTM25/26 should work ok if the 2590TV can indeed use traffic. However those chargers only have output of 5 Volts 1 Amp and most modern Garmins [post-2010 models] need more current to both charge and run the unit at the same time. The later units GTM25/36 have 2 A output.