Owning a heatpump dryer, I can tell you some things about that:
A) Cooldown: True. But our synthetics cycle never exceeds 120F. So no real need for that. And NO cotton cycle on ANY heatpumpdryer exceeds 70C/160F peak, and that is on these speed boosted dryers which have a small resistive heater to speed them up. Normal pure heatpump systems rarely peak beyond 140F.
B) Time: Meh. They are a little slower.
Take Siemens here in Germany: 8kg (that is abou 16 pounds!) in a normal condenser dryer takes 126min, 7kg in their vented dryer 130min (not verry optimized as these barely sell), 8kg in an A+++ heatpump dryer 148min.
The normal condenser uses 4.61kWh, the heatpump 1.48kWh. So it takes me about 10% more time, but I use a third of the energy, and I run the load about 20F-40F cooler.
On the professional side (Miele): The heatpump 325l drum dryers can evaporate 7.5l per hour at a load of 5.2kWh, same size as electric can evaporate 18l/h at up to 20kWh, the gas one can evaporate 17.2l/h at 18kWh gas power + 0.8kWh of electricity. So, the heatpump is half as fast, but uses a half as much energy for the same usage.
That makes a heatpump dryer brake barely even on a large scale professional application as they are about twice as expensive. But as ürices come down, that will change as well.
C) Lifespan/consitency: That is something that only turned around for households here a few years ago and is starting to turn around slowly for professional equipment.
Now, with A+++ dryers avaible for as low as 500€, and the cheapest heatpump dryers for 350€, it really barely makes sense to buy anythin else. And give that nothing new last for more then 5-10 years, heatpump dryers don't have a chance to age anymore. Coolants get recycled by now (at least in part), so that impact gets lower and lower as well.
Filtration has improved, so heat exchangers don't clogg up as much anymore.
D) Complicated: Nah. The only thing that changes is that a heater is replaced by a heatpump. Electricly, the difference is that you change out 2 relais for either 1 relais, a capacitor and a motor (in the compressor) or an inverter board and a motor. Oh, and you might need one NTC more. But NTCs don't fail. One motor-mounted fan is replaced by a cheap and easily replaced computer-style fan.
So, yeah, for the US market, gas (and even normal electric) still makes sense. Give that 5-10 years, and that will be different as well.
For the professional side, things start to turn around.
For the EU, heatpump is the standard.