As far as I know, arrival postmarks were only done if something special was involved. Registered mail comes to mind, or a special flight. Normal first class mail does not usually get this.
There have been some times in history where some countries had rules requiring back stamps for ordinary mail, but it was more the exception than the rule. Most eras and most countries did not use back stamping or arrival stamping for anything other than special mail where such a cancel was required to provide proof of its arrival on a particular date and time. Registered mail, special delivery mail, and first flight mail are three examples that almost always have arrival back stamps. There are others as well. Your cover, being an ordinary first class letter, should not have a back stamp and so it is correct as it is.
Latvia used receiving postmarks thru sometime in the 1920's. I've never researched the date. I always felt sorry for people receiving postcards that had to struggle to read the message because of the post office. This one is milder than some.
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