That varies with the stove design and testing.
Ok.
Then how would it be safe to assume "wall installation clearances" are safe to use for an alcove, when no data are available? After all some stoves need larger side/back clearances for an alcove installation. I.e. for some stoves it's not safe to use wall installation clearances.
When nothing is mentioned, is it safe to assume you don't need larger clearances? Me thinks not.
When nothing is mentioned, should one even install in an alcove? (In extremis, I can think of many (stupid) scenarios not mentioned in the manual, that will be patently unsafe.) How can a UL listed stove be installed according to the mfg instructions, if no instructions for a particular type of installation exist?
If they tested it (for this stove), and determined that it is safe to use the same clearances, I'd hope they write one sentence in the manual.
So, for a case where some stoves need stronger safety measures (larger clearances), and some don't, assuming yours doesn't is a bit of a safety concern imo.
And I understand that assuming this stove would need larger clearances in an alcove (i.e. the safer choice) brings the conundrum of how much larger - a thing we just don't know.
This is a concerning omission in the manual. I think it'd be good if there would be (UL) requirements of what a manual has to contain. Alcove installations do occur, so it's not a "stupid scenario" that does not warrant mentioning.
This is not criticism to the OP; apparently he honored the only numbers he has (and exceeded them, barring the hearth), and included a vented shield if I read correctly. That's good.