You can check the wiring but this looks like an incompatible controller. Here are some alternatives:
If you're looking to purchase an Evaporative Cooler Vulcan Touchpad Controller, there are several options available. Here are some places where you can buy one:
The Home Depot: You can purchase a DIAL Evaporative Cooler Digital Controller from The Home Depot for $64.48.
Gasstop: Gasstop offers a refurbished wired Bonaire Comfort Control remote that works with Bonaire and Vulcan gas central heating systems for $150.
Bonaire Heating & Cooling: Bonaire offers a range of Navigator Remote Controls for Cooler and Heater, including My Climate® Wi-Fi® for ducted evaporative cooler, ducted gas heater, or dual-cycle air conditioner.
Navigator Remote Control for Cooler and Heater (bonaire.com.au)
Likely too old for an Energy Star Rating.
https://www.google.com/search?q=Vulcan+gas+wall+furnace+series+22+energy+ratingWhat is the efficiency of a gas wall furnace?
Wall Furnace Energy Efficiency Ratings
Today's wall furnaces are often rated at 80 to 90 percent annual fuel utilization efficiency (AFUE).Jan 26, 2021
My first thought is a power supply issue. Have you checked the breakers? Were these ovens working and now they are not? Bad temp probe, or high limit switch maybe.
They all have model numbers Maggie. There are a few in the link
https://www.google.com/search?q=vulcan+electronic+gas+wall+heater+manual
We are Fixya, we aren't Vulcan, we just have a Vulcan category for handy filing. There is no connection here to company reps, but we try to help where we can.