My guess would be the coolant loss would cause the "no heat" since most cars have the heater core located higher than the point where you fill the cooling system.
If I took my car to a shop and they told me I needed CV axles and there was a "check for no heat" complaint on the RO, I would leave immediately.
Very possible that topping up the coolant would give her heat. Fixing the leak would keep it working. WE used to keep some old coolant for those times when a car needed topping off to determine where the leak was located. I have seen a lot of destroyed multi thousand dollar engines due to a simple to fix coolant leak.
regards
Mech
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