Hibernia
Not my field at all, however, a search revealed this on the Reserve Bank of India's website, which might clarify the nature of the Hali Sicca:
https://www.rbi.org.in/commonman/English/Currency/Scripts/PreColonial.aspx
Reading the link from Hibernia (thank you!), it is not clear to me that this is a new currency or just a new set of coins … Like when medieval issuers struck a new series of coins, and wrote “MONETA NOVA" on them, but they were still within the same currency system, usually just struck to new specifications (weight, purity, etc.).
Added… In the two links below, Album refers to a “rare transitional series in circulation 1303-1305” (I suppose this is 1886-1888?). This fits the time frame of the Hali Sicca mentioned on the website cited by Hibernia (some time between 1858 and 1903).
These coins are denominated in annas, which seems like they would still be in the rupee currency system, (i.e., not a new currency).
https://www.acsearch.info/search.html?id=12114685
https://www.acsearch.info/search.html?id=12114686
In this link: https://www.acsearch.info/search.html?id=1691023 there is a gold ashrafi with the name of Asaf Jah. Use of this name on the Hali Sicca coins was mention in the link in hibernia's post.
So we have three types struck 1303-1304, one of which is definitely linked to the Hali Sicca types, the other two also likely.
Album also cites a journal article which may shed some additional light. Spink & Son's Monthly Numismatic Circular, Volumes 65-66, 1957. Maybe can be accessed digitally?
To me, the evidence is that these are probably the coins being discussed, and a new currency is not needed, so I have downvoted.