That idea won't work. Plants "know" which end is which. The scion will grow a bigger branch from one end and roots from the other end, if it is in the right environment - i.e. if the base of the scion is in some soil.
Your idea is used to graft on new roots, but that isn't what you wanted to do.
If you got lucky, a bud on the other end of your graft might grow into a branch, but it probably wouldn't be very strong, and it certainly wouldn't grow pointing "outwards" from the trunk that you grafted it onto.