Yes I have - whenever I do a capicity test on a battery. At 10 amps most get pretty warm after a while, that's without much sag.
Take a healthy 18650 with a typical internal resistance of .075 ohms. At 10 amps, a 36v 40 cell battery will have 2.5 amps going through each cell. The heating is then 2.5 x 2.5 x .075 watts per cell = 0.47 watts. For the whole 40 pack, that's 18.75 watts.. The ones in the middle are very well insulated by the other warm cells around them, so it's difficult for them to lose any heat.
If your battery were saggy, the internal resistance would be higher and the heating would be higher in proportion.
So how long is "a while"? Have you plotted a graph of temperature vs. time?
My packs are 60 cells, so the 6p configuration means the current per cell is 10/6 A and the overall mass is even larger.
And you'll end up with differential heating as those cells in the centre will warm up faster than those on the exterior, leading to further problems. Also, it will depend on how the cells are laid out in the pack, which will change the surface to volume ratio and hence the effective heat build up/loss ratio.
Anyway, let's do a back of the envelope calculation to estimate how long it should take to warm up a pack, without any thermal losses:
Ok, so let's take 20W of power into a pack. Let's say the pack weighs 4kg. It is of mixed composition of lithium, polymers, steel and hydrocarbons. The specific heat capacity of lithium is 3.58, for steel 0.47 and for most polymers/hydrocarbons its approx 2 J/g/K
Let's say it all comes out at an average of 2 J/g/K
Say we want to heat the pack from 5 Deg C to 20 Deg C
So we end up with 2x15x4000 = 120,000 Joules to get the pack up to 20 Deg C from 5 Deg C
If we are inputting 20W, ie 20 J/sec, then it will take 120000/20 = 6000 seconds to reach 20 Deg C, assuming no thermal loss from the system, so 100 minutes, or 1 hr and 40 min. In which time, the capacity "damage" will have been done.
So you can see, although these numbers are approximations, I have doubts that the heating rate will be as rapid as you think and I'd like to see some real world data.