There is no right answer to this question that, maybe, is not a question at all. True, synthetics are inherently more silppery (less friction) than new or old wood lanes, but there is no formula at I know about which shows which coverstock set at which surface (sanded, polished or anywhere in betwen) will be most suitable for XX amount and YY length of ZZ brand of oil on AA type of lane surface, which is BB years old and which has had CC amount of games thrown on it by DD type of bowler (stroker, tweener, cranker) using EE type of balls (Pearl resin, solid resin, particle pearls, particle solids).
There are so many variables invovled, any ball can be used on any lane type given the bowler's release and the amount of oil on the lane.
In general, Rougher surfaced balls are more usable on more slippery lane surfaces like synthetics.
Were your 10 pins weak of ringing onthe synth lanes? Could be the difference between the ball being too weak for the line you were playing or the angle
being too much.
On the wood lanes, the ball's surface could have been slightly too grabby and gotten into a roll slightly early.
In one case, a slightly rougher surface ,might have left less 10 pins.
In the wood "case", a slightly polished surfaced might have provided a better entry angle for better carry.
Sometimes in tournaments, it's good to have a couple of balls (or a couple of pairs of balls) that are very close in drillings and/or surface preparations, just in case you're just slightly off with the first ball.
--------------------
Bowling: Just like hand grenades and horse shoes, you only have to get close.
Life: Deal with what is.