I'm not too familiar with the WN myself. However, I do know a bit on the LN side.
In terms of the LN...
The Author is still basically following the basic structure of the WN version. Whenever the First Prince was interested in Ria at all or not is up in the air, but the Second Prince was definitely curious/suspicious of this boy in the gladiator pit. IIRC, the Royal family (including the King) was there instead of just the princes too.
There was no "directly from the battle" confrontation as seen here. The First Prince went away to the background while Ria went on for a few days until she was summoned to the Second Prince. This is where after close contact, the Prince really picked and prodded at things until she messed up a bit and shown that she was actually a "girl" instead of the boy she was trying to be.
i don't really remember if there was this whole sequence between the beast handler, his brother, and Ria when she was healing the Lion. I don't think so? However, she did manage to get the Lion out of the Gladiator pit and became her pet. IIRC, the lion changed colors when she healed it. Curious that it didn't get noted here.
In the LN, it did show her to be fairly unable to really keep up a deep infiltration that is needed in the long run. However, it was miles better than the incompetency that is shown/implied in the Manga. I guess for the adaption, they just cut through the "do they know?" suspension for it.
Also, Alicia tried hard at both raising her magic and body while also maintaining the image of a noble lady. For her, failing at such basic things to maintain her own self-image of what the Best Villainous Lady in the world is unacceptable, so having soft lady-like hands is to be expected while also being scarily competent and powerful.
Also, it is not yet outright stated that they know "she has magic". I see some people mentioning it here and that's just not yet confirmed at this point in the story.
However, considering how divergent the Arc has been from the source, I wouldn't be too surprised if things absolutely changes on things.
Thanks for the TL!