I cannot get Lux's photos on the work computer, filtters do not like his host so I cannot get the ROP max amps from his chart; I think I remember @4.5 amps, so I will use that draw as a demo of the formula. Plug in your own numbers, or maybe later I will fix this but I am in the middle of switching over my personal system and have access problems too.
NTC Specs. 1 ohm cold resistance.
Max Steady State Current Up to 65°C 10.0 A
Resistance @ 100% of Max Current 0.027 oms
Resistance @ 50% of Max Current 0.060 ohms
This NTC has 1 ohm resistance cold, so apply Ohms law for Vdelta, Volt drop when cold.
In milliseconds it is hot and drops the reistance to a minimal amount.
After the bulb warms up it is for the purpose of demo here I chose 4.5 A as the bulb drain. The NTC at 5 A is 50% of 10A rating of the part. At 50% or 5 A the NTC is at 0.06 ohms. 5 Amps to 10 amps is 5A spread . The NTC covers 0.027 to 0.060 ohms. The difference is 0.033 over 5 amps or 0.0066 ohms per amp. If the ROP is 4.5 then the residual ohms pulled is 0.06 - [.5 x 0.0066] = 0.0567 ohms still left on the NTC.
Therefore your Vbulb is reduced by the added resistance or 0.0567 or as published 0.060 ohms. Need to know you Vbulb or Amps to calculate the drop in the first place or best just to take the measurement. e.g. the emolis ran the bulb of the 5761 at 6.9 volts but I do not remember what the drop was, duh. The emoli should have been Vb > 7.2. The drop is 0.3 volts,
It checks out with ohms law, Amps x Resistance = Volts, the change in volts. e.g. 5761 is 5.43 amps draw overdiven at @ 6.9 to 7.1 volts. 5.43A x .060 ohms = .3258 Volts
Because of the linear decline is resistance over the short spread of operational specifications it turned out that the NTC, SL12 1R010, had the lowest remaining resistance after start up.
The ones you have That I gave you will have a higher resistance and thus lower operational voltage. Each one has the model number and you can get the spec at the ametherm site.