Bob_MarleyAimIsADick…
Amendments:- Über chaining does not work at all; it requires the medic to abandon his pocket, which puts both at extreme risk, just to gain a few more seconds which are wasted anyways. Also the consumption rate eats away at half of the über-on-hit.
…
Your first point is just wrong... The ubersaw is balanced around milliseconds per percent decrease, not consumption rate...
How so? According to the TF2 wiki, the Übersaw's attack rate is 0.96s (There is no additional delay since 0.96s is a multiple of 0.015). Medigun übers typically last eight seconds, so we can derive the consumption rate per second by diving 100 by 8; 100⁄8 = 12.5% über consumed per second. For reference the Übersaw's über-on-hit gives 25% über.
Since Übersaw's swing speed is 0.96s, we can safely assume that the total über will equal 12.5% after a second. Even ignoring the swing speed and only accounting for the base weapon switch speed of 0.5s, the consumption rate eats at 6% of the über-on-hit's 25%. Accounting for both the swing speed and base weapon switch speed (adds up to 1.46s), the consumption rate would be 18.25% über, meaning you'd only have 6.75% über left from the über-on-hit. All of this math assumes that decimals matter and that the über count isn't rounded.
TL;DR The über consumption rate does eat away at half of the über-on-hit and this is my proof. At the very least the über consumption rate eats away 24% of the über-on-hit's über and at worst it can eat away 73% über. Again this assumes that these variables aren't rounded.