I don't know what the rules for IDing LPTV Stations are, but here in Hartford I never see a legal ID on the LPTV Telemundo affiliate. What they do show is not a legal ID. It will say T-13 Hartford/T-65 Springfield. (Now T-50 Hartford). The Legal ID Should Show T-50 WRDM-LP Hartford/T-65 WDMR-LP Springfield. This station has signifigant cable coverage.
The Low-Power Azteca America Station in Hartford, which I believe does not have any "studio" or employees and operates from their tower site on Avon Mountain has their Legal ID on the Screen All The Time. It says WHCT TV 38 Hartford, CT. (It really should be WHCT-LP TV 38 Hartford, CT). This station is not connected to the former WHCT Channel 18 in Hartford, which is now Univision affilaite WUVN. This station is not on cable. And as of late they've lost the feed of Azteca America and just have a blanked out screen with the WHCT TV 38 Hartford, CT in the corner of the screen.