Do you hear the ignitor clicking? On ours (same vintage) the blower would come for about 30 seconds after which you would hear repeated clicking noises (electric arc) until the furnace caught. If you are not hearing the clicking, then you need to investigate the ignitor. If you hear the ignitor, but no ignition, you need to investigate the gas flow first. Also be aware that at 13 years old the heat exchanger should have a very close inspection as well for cracks.
You are correct, no pilot for this furnace, it auto-ignites. That's unlike your fridge that does have a pilot for the gas.
2011 Jayco X19H (purchased 2015)
2008 Jayco 1007 PUP (purchased new, traded for the X19)
2018 Nissan Titan Midnight Ed.