Genesys Pure Connect is pure interactive intelligence.
Genesys Engage is your standard Genesys you have known until now. Even better.
IMHO Genesys Pure Connect does not do justice to Genesys framework and, if anything, undermines Genesys cloud strategy that was supposed to be built on top of Genesys SIP server. Moving forward, I suspect one of them is going to be dropped. I suspect Genesys Engage did not make it fully to cloud due to Interactive Intelligence starting to really grab the market share due to its simplicity and low cost, and Genesys was forced to acquire it. I can be completely wrong (and probably am), but Genesys Connect based on ININ was supposed to be a stopgap measure until Genesys SIP has evolved to being capable of offering a pure cloud UX experience without a prolonged deployment.
The whole PureConnect feels like Genesys Express all over again, where Genesys was forced to do something with Alcatel products, only unlike Genesys Express this one seems to have taken a hold and is really undermining its own user base. With Amazon Connect on horizon and a plethora of other cheaper call center packages, I doubt Genesys Connect converting a lot of non-Genesys users to it, and is instead cannibalizing its own market.
All of this is my speculation of course, but judging by how low-cost no-frills Pure Connect is squeezing the existing Genesys deployments, I suspect that the strategy backfired, and PureConnect will be slowly phased out over the years and be replaced by Genesys Engage or whatever its future iteration is.
I sincerely hope I am wrong, and I look forward to being corrected.