Hoplites using Falcata

[MeinPanzer]

During Alexander's reign the former pattern still holds true.

If you mean after Alexander, i.e., during the third and second centuries BS, hard archaeological data is scarce for Successor armies but:

The xiphos and kopis both continued in use well into the 2nd C. BC. However...

b.-Sidonian stelae show a peculiar short sword with a short, triangular blade tapering from shoulders to a long point. But this peculiar shape could well be an artistic licence.

...The introduction of the Celts into Asia Minor brought about the adoption of Celtic-style swords. They began to be adopted in the very late 3rd or early 2nd C. BC in and around Asia Minor and seem to have largely replaced the xiphos and the kopis by the end of the 2nd.

c.-Also Guy Stiebel has very recently published a gladius hispaniensis of 2nd c BC date from Jericho that seems to show that Roman-style offensive weapons were being introduced in Seleucid armies together with armour by the end of the 2nd C BC

This weapon was found in the Herodium and so was probably used by, if anybody, a Judaean soldier.

d-Also, there is iconographic evidence for short daggers

What evidence are you referring to?

e-Very little evidence -if any- for the continued use of kopides, both in the Eastern Mediterranean and in Italy (except for that odd relief at the tomb from Perugia), while the westrern version -the falcata- continued in use in Iberia.

There's plenty of evidence for the kopides down to the second century BC. Bird-handle swords, which are almost invariably kopides, keep popping up in art until the end of the 100's.