Nah, from what I saw the only difference between the good bike dryer and the pet dryers is the length of hose. The one on mine looks short when switched off but once the dryer powers up the hose gets longer under pressure, and I can easily dry the bike without needing to hold the pump body, not that it's heavy so you could hold it.
The one you linked to is just 500 watts, which although the air will feel fast coming from it, it won't have the quantity required. It'll be a small diameter jet. Mine is a 2800 watts blower which seems standard for bike dryers.
I also tried to use a leaf blower as I have 2 of those... They did do the job but were clumsy and heavy to wield, hard to control to address close detail work. I feared I might end up damaging the bike so gave up on them.