The panasonics pass all the standard definition HQV tests. but these tests are essentially useless because you are probably not using a non progressive scan DVD player so your TV won't need to do any deinterlacing. You are likely passing it 480p and the TV scales it to it's native resolution and the DVD player does the Inverse Telecine and 3:2 pulldown to create a 480p/60 signal from the 480i/60 signal. If done right it does this by first performing a Inverse Telecine process that can reconstruct the original 480p/24 signal from the 480i/60 signal on the DVD. Then, in order to output it at the standard 480p/60 that your TV can accept, it has to pad the 24fps signal with extra frames to reach 60fps. So, your TV actually doesn't need to do anything special to play 480p and just scales it to your screen resolution. Problems DO occur when people buy these fancy new "upscaling" DVD players and set them to resolutions that do not match their TV's native resolution, resulting in double scaling which can reduce the picture quality. A general rule of thumb without getting into the specifics of upscaling, is to set your DVD player to output 480p and let the TV do the scaling. If your TV is fairly high quality, it will likely do a better job of upscaling the 480p to fit it's native resolution without running into any problems with double scaling, or even worse, when people set their upscaling DVD player to 1080i output and now the TV has to do another lossy deinterlace step that was completely unnessesary. So, just skip these problems and set your DVD player to 480p (progressive scan) output.
On standard cable or digital cable, the TV DOES need to do deinterlacing, but it does not do Inverse Telecine and pull the 480p/24 film matieral out of the 480i/60 signal because most TVs do not have adapative algorithms that determine whether there was actually a 480p/24 signal hidden in the 480i/60 signal. All you can do is turn Inverse Telecine on or off and you don't want to switch it on everytime you think you are watching film based content so everyone just leaves it off. This works fine for most content. So, the HQV tests are pretty useless on TVs except when they test a sets ability to do 480i/60 video based deinterlacing, which most sets now do properly.
Really, this whole thing is a complete mess and should have been standardized better than it was because it took me a year to sort all this stuff out so don't worry if you don't understand anything I just talked about.