Just checked the files myself and yes, it looks like foot archers have 30 shots. It's the same for better archers like Cretan Archers except that regular Archers have 120 for range and Cretan Archers have 170.

As for slingers, most foot slingers appear to have 40 shots. It's the same for better slingers like Rhodian and Balearic Slingers except that regular Slingers have 80 for range and both aforementioned better slingers have 120 (which puts them on equal footing as regular archers).

Hmm... I can't really remember how many shots regular archers got in M:TW, much less the number of shots available to Samurai Archers in S:TW. Been quite a while since I last played those games. I could be badly wrong but I don't seem to recall getting that many shots for Samurai Archers.
In any case, there was a formula on a website I recall that mentioned the effectiveness of Samurai Archers and their experience (honor) and it seemed to say that after getting the first couple of stars, their shooting accuracy/damage doesn't improve much at all.
Also shots made at long range don't seem to hurt enemy units much back in S:TW. So if you hadn't many shots to make, sometimes it was worth closing a little to get a more comfortable range rather than shooting at first opportunity. In R:TW, those Cretans can shoot from a mile off and still inflict about the same casualties and they weren't even on higher ground, which also incidentally appears to affect range less than in previous games.

I'm not sure why ranged units are more effective in R:TW. Maybe it's the fact that Archers get their General's Command rating added to their attack?? I believe it was just a morale bonus in previous games (please correct me if I wrong as my memory is really hazy on this one). Maybe it's the fact that they are getting more shots/more volleys per man as mentioned by other forum members. Or maybe it's the way ranged attacks deal damage and how they take into account armor, defense and penetration.

In any case, I believe there are quite a number of forum members who feel that ranged units are a dominant force in R:TW (perhaps too dominant), therefore it would be nice to have someone conduct a little research on it (hint, hint, followed by big grin)...
I know certain figures might change post patch but I think it's still worth the effort. Thanks.