I haven't gotten to this discussion until now; this is a bit of a messy area.
On FamilySearch, when I try to find more about this particular profile (which was MP'd at one point simply as a "stake" around which to try to sort out issues) I found these when searching for "Hans Landis" with a birth year of 1623: (with these being the ones I thought most likely to be causing confusion here on Geni)
1. Hans (L7FW-XS1)
birth: 15 May 1625, Hirzel, Zürich, Switzerland
christening: 15 May 1625, Hirzel, Zürich, Switzerland
spouse: A Barbara Strickler (K81W-R65)
father: Rudolf (Rudolph) Landis (L7GJ-SDG)
mother: Barbara Ritter (L4TQ-T12)
2. Rudi Landis (LLCR-R8R)
birth: 11 November 1621, Hirzel, Zürich, Switzerland
christening: 13 November 1621, Hirzel, Zürich, Switzerland
death: 1670, Zürich, Switzerland
spouse: Barbara Buehler (KHTZ-BQG)
father: Hans Hochstrasser Landis (L4WQ-5N3)
mother: Elsbeth ( Elsi) Erzinger (M32Y-GKD)
3. Hans Jacob Landis (LCRD-MXV)
birth: 18 December 1625, Hirzel, Zürich, Switzerland
christening: 18 December 1625, Hirzel, Zürich, Switzerland
spouse: Elsbeth Holz (K8ZS-5J7)
father: Hans Hochstrasser Landis (L4WQ-5N3)
mother: Elsbeth Ertzinger (LXQC-17B)
4. Hans Jacob Landis (LKV6-HXV)
birth: 1632, Kraichgau, Baden-Württemberg, Germany
death: 1687, Weiler, Sinsheim, Baden, Germany
spouse: Barbara Bueler (LKV6-HLM)
father: Hans Jagli Schnebli Landis (KHDZ-CMM)
mother: Verena Veronica Pfister (LKV6-CH7)
Note that the two spouses 'Barbara Bueler' are different people (dates note even close). The two mother's 'Elsbeth' may be the same person (7 years difference, and data are fuzzy, but might be the same).
So those may be useful starting points to help sort this area out.
I have to leave this for a bit; I hope this helps get things started, though.