(Not saying you shouldn't game on a workstation, but a workstation card will be worse at it especially for its price)
I guess what's unique with Ada is that they're using her first name? Though most official sources call it Ada Lovelace in full.
I think the complaint is more with the consumer card being 4xxx but this is 5000 both on the same architecture.
Quadro RTX 4000
RTX A4000
RTX 4000 Ada
Unfortunately they’ve had 3 separate naming conventions in 3 successive generations. Those 4000 series cards are in the same position in the lineup for each generation.
Add to it the card variants, and there's a chance that you might still end up with the wrong part if your purchaser isn't careful.