Tbh I personally feel like thickness of caps makes the bigger overall difference as well.
Theres definitely a noticeable difference between cherry and oem profiles caps tho,
and even with the difference in hight and shape being rather minimal its still enough for me to pick cherry over oem in terms of look & feel.
Most people on here prefer the less tall and more pronounced shape of the classic og cherry profile, but its not to extreme of a difference that would take you long to get used to.
Also, like already mentioned, its important to note that cherry-branded keyboard doesn't necessarily mean caps are cherry profile.
Theres many cherry-branded non-mechanical boards that are using even less tall hybrid profiles.