I believe the following to be true. Probably will be missing some important caveats, though.
Assuming that we are talking somewhat theoretically in a physics context here.
The doubling force effect on the rigging point when using a low friction block (maybe, maybe 10% energy loss to friction, or for simplicity assume the block is really nice and new and fancy and has negligible friction) comes from an input force on once side of the block, ex. 100 pounds, has to be counteracted by 100 pounds of resistance, therefore the block experiences 200 pounds of force.
If you are losing some of the energy of the 100 pounds of weight (weight is the force from gravity) to friction over the crotch, you are not getting the exact same output of the doubling effect on the crotch. Let's say for example, roughly 1/4 of force is lost to friction, so the other resistance force would be about 75 pounds. Your TIP is now experiencing 175 pounds of force rather than 200.
The FS is smoother so less energy is lost to friction. If you are using a pulley, even more so. You will get less friction loss of force (and the equal and opposite force of the resistance of the tied off rope at the base). 100 pounds will have, maybe 90 pounds of resistance force, so 190 pounds of net force at the TIP.
I'm around 200 pounds when geared up, with a climbing saw. Ben is around 200 pounds. 400 pounds of input will quadruple the difference in force between a low and high friction system. Maybe we are in reality speaking of a difference of 100 pounds of force on the TIP, especially if we bounce a bit.
In most cases, this difference is not going to break the camel's back, but considering it might be worthwhile. This might be more important when setting a floating anchor block for rigging without actually being up at the rigging point. As an example rigging the top of one tree into an adjacent tree, or using a drift line system where you gain horizontal distance as you change the percentage of load from one tree to the other (in Art and Science of Practical Rigging).
Hope this makes sense. I have to bolt out to an appointment, so haven't proofread this yet, so sorry if it run-on, or typo'd.