When it is haram to consummate the marriage with the wife because of her young age does it mean that all forms of sexual contact is also prohibited?

As far as I know in Islam marriage contract is allowed at any age as is mentioned by Imam Ibn Battal and Imam Ibn Hajar but consummation of marriage is allowed only when the girl is able for it.Also that there is a consensus of scholars that the guardian is not allowed to give the bride to the husband untill she is able to consummate the marriage. So, when Scholars mentioned that consummation of the marriage can only happen when the girl is able for it, did the scholars also mean that not only intercourse but also all forms of sexual contact for example kissing or touching with desire is prohibited in case of an early marriage where the bride is both immature by age meaning did not reach puberty and also physically unfit for intercourse? I always thought the case was that all forms of sexual contact with immature girl with whom marriage contract was done was forbidden and by immature I mean who is not both able to have intercourse and also did not reach puberty but some people(i.e mostly christians trying confuse muslims)have been saying it was allowed to enjoy them sexually in other ways and only that intercourse was forbidden. If it is allowed then , which conditions make it permissible and impermissible. If possible a detailed answer from different madhabs would be appreciated.