Although there are many varieties of Physalis that bear fruit - not all varieties bear edible fruits and the one that you mention Physalis Alkekengi - even though its fruits are often used in alternative medicine -it is generally grown as the ornamental plant commonly known as " Chinese Lanterns ".
As far as I'm aware the only edible variety of this plant family is " Physalis Peruviana or Edulis " commonly known as " Ground Cherries ", " Inca Berries " or " Cape Gooseberries " - which is the one to choose if planning to grow for eating purposes rather than just for ornamental value.
However I would say to anyone who is considering growing these plants and hasn't grown them before - to do so with extreme caution - particularly as - all of these plants belong to the Nightshade family and ALL parts of these plants are toxic and can even be fatal if ingested - including the fruit - which is only non toxic when the fruits are ripe.
As we already have a thread that contains a lot of helpful information on these plants as well as pictures - I am including the link here
https://www.gardening-forums.com/threads/ground-cherries.2023/#post-23346
which I hope will be helpful to anyone wanting to grow these plants and hopefully make sure that if wanting to try these fruits - that its not the one and only time that you ever get to do so