There is no confession, no confirmation of any relationship and generally a huge lack of commitment. I would not consider this a major yuri work at all because of that.
I vehemently disagree with this not being an explicitly yuri work.
Setting aside that all the side couples are in committed, romantic relationships, the only reason there's no formal "I love you, please go out with me" style confession is because every single word they utter to and about each other just drips commitment. They're each others' other half, they'll be together forever, they're the type of couple that's 30 years married after knowing each other for 6 months.
And the kiss being a cop-out I also disagree with. The puppet show was a metaphor for their relationship that literally put the two in the roles of the Protagonist and the Love Interest. The whole chapter ran with that metaphor so it makes sense for them to go "a happy end needs a kiss between the MC and the love interest". It's not that they're only "acting" to kiss. The kisses (note: plural, they kiss twice) are the real culmination of everything ending well, including their relationship. Also reminder that Natsuka literally "can't act for shit" so we know what she does, she does earnestly.
Imho there's a big difference between actual "subtext" and "just not putting in the most literal words possible" and this VN def falls in the latter category imo. Ignoring all this feels like the equivalent of seeing a character saying "The moon is beautiful tonight." while giving a longing look and thinking "Man, she must really like the moon, huh." xD