Tanita scales measure bodyfat by a completely different method that calipers so its not that they are "inaccurate" on the order of 10% when compared to a caliper measurement. Tanita scales & other bioimpedence measuring devices are measuring your body's resistance and deriving a bodyfat measure from that whereas calipers are measuring a skinfold thickness. Because the bioimpedence devices are measuring something that has a dependence on the water in your body, the conditions under which you are taking the measurement need to be very consistent - such as urinating within 30 minutes of test, no diuretics, not during menstration for women, no caffeine for 24-48 hours, etc. I imagine you could use them to measure relative changes from day to day, but the water dependence introduces more uncertainty.
When we talk about what our bodyfat is, particularly in the context of fitness competition or "gym talk", we are referring to skinfold measurements. As long as you have someone who is skilled at doing it and is consistent, you measure relative changes over time, but they are still subject to error of +/- 2-4%, making them not good for determining an "abosolute" measurement.
The only accurate way to get a real absolute measurement would be to go somewhere & get a "Bod Pod" measurement -- i.e. how much water do you displace. You can often find these facilities at universities.