The eBay one isn't apparenza or even Fratelli Toso. It doesn't look a thing like apparenza. Some sellers! The vase does look like it could be one of the types that JI Co imported.
JI Co is complicated. I've seen paperweights with their label that were made by Fratelli Toso. I ran across something the other day that the merchant said was made by Archimede Seguso for JI Co. This information was supposed to be from the daughter of the owner of JI Co. She visited the group here once, but we haven't learned much more about her. She vanished as quickly as she came. Has anyone heard anymore about her?
So it seems that JI Co had its own factory but also contracted with other furnaces to make its imports. I've often wondered if the company that makes the glass that has the red or green "Genuine Venetian Glass" labels is the same that made some glass for JI Co. Some of the sommerso birds look so similar.
So the jury is still out. The answer is out there somewhere. My horse showed that it can turn up unexpectedly, sometimes just with a simple change in Google keywords. You have found a lot of things that indicate Murano is a good possibility. And I think your vase looks good enough for Murano to be a possibility.