Welcome to the forum.
Yes, the photos do look rather like metal film resistors - but flameproof resistors always look different due to their cement coating rather than the normal lacquer. One way to solve the question would be to remove another resistor of the same type and check its temperature coefficient. With a metal film resistor you would normally expect around 50ppm/'C, a carbon film rather higher (according to the datasheet too), typically by about an order of magnitude.
As a rule of thumb, normally you can measure the resistance of a metal film resistor held in your fingers and measure a pretty stable resistance value (avoiding any leakage effects). With a carbon film resistor, you will see the value slowly drift with the heat of your fingers. If you have one of each type to hand, you can compare too. I can't get an idea of scale from your photos, but a carbon film resistor will typically be larger for the same power rating too, check the dimensions against the datasheet.
As you indicate these resistors are in 'critical' positions, intended to fail safely and prevent other parts of the circuit from catching fire, so you should probably replace with the same flavour of flameproof.