Bad caps are very unlikely on this actually-made-by-JVC TV because it uses entirely high quality capacitors: Rubycon mostly with a few Nichicon. Yes while even good capacitors fail their failure rate is so low it's NOT a good idea to shot-gun replace them on the board, you'll just waste time. Out of nearly 60 (hobby) TV repairs I've had maybe 6 or 7 bad capacitor replacement jobs... It's a common suggestion on the internet "have you replaced the caps?" but it's nearly irrelevant if you aren't talking about a Samsung or LG made in 2007~2008.
Bad capacitors also cause odd symptoms. A bad startup capacitor could cause this problem (by checking the voltages across them that has been mostly ruled out) whereas a bad output capacitor would tend to cause low output voltages rising after warming up, flickering backlight, distorted audio, glitches on display, etc.
The particular fault could be caused by a leaky transistor, intermittent resistor (SMD resistors can become intermittent) or some other problem along the PON circuit.