Simples ! No !
I have to go with Big pistons on this, and think that the rate of ice build up has more to do with the air inlet fitted rather than the engine, so don't assume that the Lycoming is less likely to pick up ice than any other engine just because the carb is bolted to the sump.
The Lycoming O-360 fitted to the PA28 is much LESS likely to pick up ice than that when the same engine is fitted to the Robin DR400 ( I am talking engine / carb fit). The only thing that is not the same is the intake ducting so this must have an influence on the icing rate.