Hi Roy - The Max Löwi in the death notice you just referred to is a different Max Löwy than the one we were discussing, according to the following pros and cons:
Pro: The first name is the same and the death date is close (Feb. 3 for Max Löwy, Feb. 4 for Max Löwi, according to the Index of the Jewish Records of Vienna and Lower Austria
Con:
1. The Max Löwy on the gravestone was definitely born in 1845 ("gest. am 3 Februar 1903 im 58. Lebensjahre," as opposed to the 1828 birthdate of Max Löwi in that death notice ("im 75. Lebensjahre").
2. Max Löwy's wife was definitely Anna Mühlhofer, as per the gravestone; Max Löwi's wife was Caroline as per the death notice
3. Max Löwy's children have birth records in the Index of the Jewish Records of Vienna and Lower Austria, and as you say, none of them match the children of Max Löwi, whose children were likely born a generation earlier, as was he.
Here's the death notice for Caroline Löwi, wife of Max Löwi:
http://anno.onb.ac.at/cgi-content/anno?apm=0&aid=nfp&datum=...
Here's the death notice for Jenni Löwi Versändig, daughter of Max Löwi and Caroline (her husband's name is "Abraham" in their marriage record):
http://anno.onb.ac.at/cgi-content/anno?apm=0&aid=nfp&datum=...
And I'm 99% sure this entire family is one I had branched recently, now subject to all kinds of available verification, thanks to the death notice you referenced:
https://www.geni.com/family-tree/index/6000000086924633821
So, thanks for inadvertently helping me with this family!
Best wishes,
Fred