Enabling InfoPath for SharePoint Online

I am a little disappointed that nobody answered your actual question. I pasted part of the text from the link (http://aka.ms/ipfs) in your screenshot at the bottom of my reply. 

This is not to say I disagree with learning and using powerapps, I don't. It is clearly the future.    However, I also think we are in the business of providing productivity solutions that work for our customers (in my case internal) now. If you view the Microsoft Product Lifecycle page https://support.microsoft.com/en-us/lifecycle/search/16653 you will see that Mainstream support for InfoPath 2013 is 7/13/2021 and the extended support is 7/14/2018.

I spent many hours developing solutions in InfoPath and SPD.   I see no reason why I shouldn't use those tools if I, or an internal customer, has a modest need with a short lifecycle.   However if I was to suggest an approach by someone who had to learn either one, I would suggest PowerApps since that is the right place to invest in skill development. 

That said  - Where do you enable it in SharePoint Online?  Are you talking about the SharePoint Admin Center | Infopath | Browser-enabled Form Templates?  I have both "Allow users to browser-enable form templates" and "Render form templates that are browser-enabled by users" enabled.   I have not built anything as complicated as I used to in SP2010, but I have used infopath to customize list forms and they worked fine.  It was a fun (to me) quick way to make a pretty form, with some field rules that satisfied the needs of an internal customer.  They only needed the solution for 6 months, so it wasn't a long term investment. 

Here is an update from 1/31/2014 - I am going to take MS at its word and I have not heard the "until further notice" message that says the InfoPath is no longer supported in O365.  Has someone else?  Did I miss the communication?

https://blogs.office.com/en-us/2014/01/31/update-on-infopath-and-sharepoint-forms/

As part of the update shared around the Evolution of SharePoint and the next SharePoint Server on-premises release, we are also updating the timelines for removal of InfoPath Forms Services components of SharePoint and SharePoint Online. Specifically, InfoPath Forms Services will be included in the next on-premises release of SharePoint Server 2016, as well as being fully supported in Office 365 until further notice. Customers will be able to confidently migrate to SharePoint Server 2016 knowing that their InfoPath forms will continue to work in their on-premises environments, as well as in Office 365. 

The InfoPath 2013 application remains the last version to be released and will work with SharePoint Server 2016.

"Who has the laser pointer, and who are the cats"