mRNA and viral vector (which are the leading approaches right now) are very new and try to produce the effect of live virus vaccine without having to first find an attenuated, stable vaccine strain. They do this by using either another virus or a lipid shell to inject genetic material into cells which starts the cells producing proteins.
I would expect both the Moderna and the Oxford vaccine to give some T-cell immunity as well as antibodies.
* https://blogs.sciencemag.org/pipeline/archives/2020/07/15/mo...
* https://blogs.sciencemag.org/pipeline/archives/2020/07/20/mo...
* https://blogs.sciencemag.org/pipeline/archives/2020/07/20/ne...
(these blogs link the actual preprint primary source as well)
So indeed the mRNA vaccines come from technology that is highly optimized to elicit a B-cell response. (Not to say that it doesn't stimulate T-cells, but I wouldn't be surprised if it didn't).