I wonder if they are ex British service issue? Are there any Brtish unit markings on the top tang or anywhere else? I know alot of Arisaka rifles were sent to Finland from the UK after WW1.
The original load for the 6.5x50SR was a heavy round nose bullet introduced with the Type 30 rifle in 1897. It didn't last long before it was replaced by the pointed bullet with the introduction of the Type 38 rifle in 1905. A pic of some old round nose original rounds and the pointed bullet replacement.