Tom,
There is no prohibition in any code that I know of about mixing processes for tacks. There is no metallurgical (other than the ususal issues with Al and such welding over FCAW-S) or mechanical reason that I know of to create such a prohibition.
With all respect to js55, Please read again the the D1.1 code snippet. There are in facts rules for mixing processes. The operative word is qualified.
If the process is qualified, it's no problem, if it's not, then there is a concern.
In my instance, it was using stick to make tacks without having a qualified procedure for it. If you read ASME, mixing of processes are allowed, but you must have a qualified WPS to do so. I.E. same material/filler material 308L with 308L stick and tig. But again, both have to be qualified before they can be mixed. D1.1 will fall in line with the requirement to have the process qualified. If it's going to be incorporated into the weld, it has to be qualified.
As to the second part, I recall seeing that as well, but I also recall pt of the tacks being a site spec, not a code spec. and that was on mil spec work.
Regards,
Gerald