64T delivers exceptionally accurate colours... but only if your colour temp is bang on and consistent. In other words, you need to use a very dominant tungsten source with it (I use it with tungsten softboxes for indoor macro). If you don't use tungsten then sure, you can filter, but... you'll need to colour meter and make fine adjustments, and it's probably not worth the bother if your lighting is mixed.
400x will be more tolerant of mixed light, but only somewhat. Among the slide films, astia 100F would be the best bet for accurate colours in mixed light, though my feeling (based on using both e6 and c41 films quite a lot) is that none of these slide films will be able to do what the print films can do in terms of maintaining accurate colours under mixed light. Indoor light tends to be a mix of fluorescent and incandescent, so I would go with print film... unless you are willing to introduce your own dominant light(s) e.g. flash etc.