Hi Ken,
I sure that resetting your TV probably is not going to help, the problem is that the webOS browser does not play nicely with the embedded player used on the site. From what I can tell timelesstoday.tv uses JW Player (https://www.jwplayer.com) which is based around Javascript, which in turn it appears the webOS browser does not support, or pretty much any other plugin. That said other TV brands probably would not work either going by various bits and pieces I have read.
Here is LG's information page on the browser:
https://www.lg.com/uk/support/product-help/CT00008334-1435838149474-web-browser-specifications-operation
Basically it is limited in what it can do, a conscious decision I expect by LG to save having to reinvent the wheel by programming for technologies that have really had their day.
Of course if the timelesstoday.tv site embedded its audio and video files with HTML5 instead there would likely be no problem with playback. This is because the webOS browser (as of 2016, latest figures I could find) has the best Smart TV browser support for HTML5:
http://html5test.com/results/other.html#television
In summary, HTML5 good, everything else bad. JW Player $50 per month (https://www.jwplayer.com/pricing/), HTML5 free.