some numbers ...
re the bar ... 050 v 065 compared
a 20" x .050 x 72-drivelink laminated sprocket nose is .170" thick and weighs about 40 oz.
add .015 thickness to the interior spacer to make it an 065 bar, and it should now be .185 thick (an increase of 8.8%) and increase in weight by 3.5 ounces (.22 lbs).
however, the bar's structural strength to resist bowing, if a long one, or for bad habbits like flipping logs and etc., should increase by 18%.
so mainly the bar gets a lot stronger.
re the chain ...
estimate that the 1/3 of the total weight of a 72-dl chain (at roughly 11 oz) is in the drivers, and 2/3's is in tie straps and cutters. if the drive links increase in width by 30% (050 to 065), the total chain increases in weight by say 10%, or say 1 ounce. Not insignificant, but once accelerated, not enough to bother a 4 hp saw either. but look at the increase in potential life of the chain, by looking at the increased width in the rivit bearing surfaces inside the drive link rivit holes. For example, when held out sideways - horizontally, them old 050 chains will have lots of "hang" in them. the 065 chains will stay straighter.
for example, Stihl recommends 065 gauge for their .325 chains in their 260s for example ...
Dolmar recommends 058 gauge for their 3/8 chains for European and Canadian markets ...
the one difference not considered is that for a given chain tension, the cutters in the lighter 050 chains might have a faster harmonic rocking action in the cut than a chain with heavier drive links ...