It usually works like this...
Piston deposits can arise from three distinct sources.
1) Decomposition of the VII polymer. The more polymer you have in your oil, the more deposits you tend to get. Synthetic oils tend to contain less VII polymer but you need to be careful how you interpret this. A synthetic 10W30 will contain less VII than a mineral 10W30 but a wide cross-grade synthetic 0W40 may well contain more VII than a narrow cross-grade mineral 10W30.
2) Oxidation of the oil. Unless you're still using an oil based on Group I stocks, you generally don't need to worry about this unless you're into extended OCIs. If you are into extended OCIs, synthetics oxidise less than minerals and will generate less deposits
3) Burnt oil. This could be due to worn valve seals or worn rings. However nowadays, the most likely source of burnt oil is light base stock, stripped out of the crankcase by hot blow-by & recycled through the PCV system. If you want to minimise burnt oil related deposits, use a low Noack oil. Synthetics tend to have lower Noacks than minerals but again you need to be aware of the wide cross-grade vs narrow cross-grade thing.
Other things to bear in mind are that in terms of additives, polymeric ashless dispersants counter piston deposits, overbased metallic detergents do not. Heavy oils (or light oils that contain a reasonable amount of very heavy base stock) are way better at preventing piston deposits than light oils.
Hope that helps...